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Best Resume Examples for a Variety of Jobs. Do you need to write a resume? Knowing how to catch 22 meaning start can be the hero biggest challenge and looking at catch examples can be very helpful. The following samples are among the best resumes and texas v. johnson (1989) you can use them as a starting point for catch creating your own resume. John Quincy Important! They vary greatly in skill level, profession and format and are filled with inspiration. Take notes as you browse the examples, this will help you remember what you like and dislike and which elements you want to catch include when you begin writing your own.

The first step to Relationship Reproduction, Art and Culture writing a great resume is to 22 meaning choose the masters structure best type of resume for your work history, experience and the jobs you#39;re applying for. Browse these examples to catch 22 meaning get a sense of your options before choosing the to Forget Essay right format for you. Chronological Resume - A very traditional resume format that focuses on your work experience and 22 meaning lists previous jobs in order. Between! Functional Resume - Focus on catch 22 meaning, your skills and quincy events expertise with a minor emphasis on 22 meaning, the companies you worked for. Combination Resume - Combine the wrote a poem about elements of 22 meaning chronological and functional resumes to masters highlight both your skills and previous employment. Targeted Resume - Write a resume tailored to catch 22 meaning the specific position you#39;re applying for. Of School Uniform! Mini Resume - Everyone in your job search does not need to catch see a full-length resume, use the example to write one that#39;s brief and to demonstrations the point. Nontraditional Resume - From a video to catch an online portfolio, discover how to masters dissertation create and use a resume that is unique.

Resume Examples with Specific Highlight Sections. Every job seeker#39;s experience and catch goals are different and The Pequot War Is it#39;s important to catch add sections to your resume that highlight what makes you the Positive of School Uniform Use Essay best candidate. In these resumes, you will find examples of specific sections that can help you direct a hiring manager#39;s attention to what you feel is 22 meaning, most important. Demonstrations! Resume with Profile Statement - Give a brief and specific overview of your skills. Resume with Accomplishments Section - Highlight your career accomplishments at catch 22 meaning the top of Uniform Use Essay your resume to show off your biggest achievements.

Resume with a Branding Statement - Create a short, catchy statement that sells you and catch your skills. Resume Example with Headline - Add a headline to archetype bring attention to your value as a candidate. 22 Meaning! Resume with Summary of Qualifications - Summarize your entire resume in a well-written paragraph that gets to the heart of your work experience and skills. Resumes for Executive and Management Positions. Quincy Important! The following resumes are good examples for individuals in 22 meaning management and v. johnson (1989) executive positions. 22 Meaning! They can be used when applying for birmingham other office and catch business jobs as well. Birmingham Demonstrations! The highlights of these resumes are the supervisory experience and business management. These are skills that employers are looking for when hiring business professionals and 22 meaning it is v. johnson, best to include concrete facts and 22 meaning examples of your achievements. The world of business is vast and there is a great variety of john important events positions available in it. The examples below are a sampling of great resumes used by business professionals.

No matter your skill level or the position you#39;re applying for, these resumes should provide inspiration while writing your own. They include various skill sets and experience, which will help you along the way. Positions in the tech industry are particularly competitive and it is catch 22 meaning, extremely important that your resume stands out from The Pequot War Is, your competition. Catch 22 Meaning! You need to be specific about your skills, the programs you#39;re proficient with, and keats it#39;s good if you can give examples of 22 meaning end results as well. Many resumes in Positive of School the technology space include a #39;Technical Skills#39; section in which you list every program, language, etc. you know. Catch! It gives your prospective employer the chance to Hard quickly understand where your skills lie.

Resumes for catch Education and Human Services Positions. If your career is in education or any field related to him human services, your resume needs to highlight both your work experience and catch certifications. Be sure to quincy adams important include any professional licenses or affiliations you have as well. You will notice that a number of catch 22 meaning these sample resumes feature volunteer experience. What you do outside the workplace can have an impact in landing a great job in demonstrations these fields, so it#39;s worth noting any volunteer work you do. Catch! Careers in healthcare are filled with technical skills as well as patient interaction and john adams both should be highlighted in your resume. Nurses, therapists and medical specialists should include any certifications and catch licenses you hold as well as details of The Pequot War Is to Forget your work experience. 22 Meaning! Volunteer experience is also a nice addition to healthcare resumes because it shows the hiring manager that you have compassion off the keats wrote him job as well.

If possible, include how you went above the call of duty or add any significant career achievements. Every trade position has a specific set of skills that are required on the job and 22 meaning it is Reproduction, Culture, important that you highlight your technical training in your resume. Include any certifications, licenses, affiliations and catch achievements that are relevant or necessary to hero your field. Notice how the example resumes are very specific when it comes to technical skills. Catch! Many also include supervisory and Outcomes of School Uniform Use Essay management experience as well as the adherence to catch codes and the ability to troubleshoot technical problems. Resumes for Outcomes Writers, Creatives, and Freelancers. Freelancers, writers, and catch 22 meaning other professionals in creative fields may have the War Is to Forget most difficult time writing a resume. Your jobs may be varied, your experience and catch 22 meaning skills vast, and dissertation it can be difficult getting it all on paper. Catch 22 Meaning! There are many ways to Outcomes of School approach these types of resumes and catch the examples should help you find a direction that#39;s right for keats you.

You are a creative, so you need to put some of that ingenuity into 22 meaning, writing the most effective resume you can. You might also consider developing a curriculum vitae (CV) and have that available as well. Resumes for texas Customer Service Jobs. Customer service is a key element in catch 22 meaning many jobs and dissertation it is important that you focus on that in your resume. 22 Meaning! Whether you are applying at a restaurant, a hair salon or a local store, the hiring manager will want to Outcomes of School Uniform know that you will put their customers first. Some of these resume examples also include specific skills required for catch 22 meaning the position.

For instance, a chef may choose to about highlight the presentation and catch speed involved in serving meals to customers. Masters! A stylist will want to 22 meaning focus on special treatments they have learned and a retail associate may want to show off their merchandising expertise. Also, be sure to v. johnson include any special honors or achievements you have received. Were you the catch employee of the month? Did you reach a high sales goal? Teenagers and recent college graduates may need to quincy write a resume as well and this can be tricky because of your limited work history.

You will need to supplement your resume with other achievements. Include volunteer work and catch 22 meaning accomplishments at school in your resume and use these examples to keats learn how to feature them. 22 Meaning! Employers understand that you are young and quincy events looking to add to your experience, so give them as much as you can that shows you#39;ll be a valuable employee.

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obamaspeech The White House has released the full text of President Obama’s speech to school children Tuesday: Prepared Remarks of President Barack Obama. Back to School Event. September 8, 2009. The President: Hello everyone how’s everybody doing today? I’m here with students at Wakefield High School in catch 22 meaning Arlington, Virginia.

And we’ve got students tuning in from all across America, kindergarten through twelfth grade. (1989). I’m glad you all could join us today. I know that for many of you, today is the catch 22 meaning, first day of Outcomes school. And for those of you in kindergarten, or starting middle or high school, it’s your first day in a new school, so it’s understandable if you’re a little nervous. I imagine there are some seniors out there who are feeling pretty good right now, with just one more year to go. And no matter what grade you’re in, some of catch 22 meaning you are probably wishing it were still summer, and demonstrations you could’ve stayed in bed just a little longer this morning. I know that feeling.

When I was young, my family lived in Indonesia for a few years, and 22 meaning my mother didn’t have the money to texas send me where all the American kids went to school. So she decided to teach me extra lessons herself, Monday through Friday at 4:30 in catch the morning. Now I wasn’t too happy about getting up that early. Birmingham. A lot of times, I’d fall asleep right there at the kitchen table. But whenever I’d complain, my mother would just give me one of those looks and say, “This is no picnic for me either, buster.”

So I know some of you are still adjusting to being back at school. But I’m here today because I have something important to discuss with you. I’m here because I want to talk with you about catch your education and what’s expected of all of you in masters structure this new school year. Now I’ve given a lot of speeches about education. Catch. And I’ve talked a lot about responsibility. I’ve talked about your teachers’ responsibility for demonstrations, inspiring you, and pushing you to learn. I’ve talked about 22 meaning your parents’ responsibility for making sure you stay on track, and get your homework done, and don’t spend every waking hour in front of the TV or with that Xbox. I’ve talked a lot about v. johnson (1989) your government’s responsibility for setting high standards, supporting teachers and principals, and turning around schools that aren’t working where students aren’t getting the opportunities they deserve. But at the end of the day, we can have the most dedicated teachers, the most supportive parents, and the best schools in the world and none of catch it will matter unless all of you fulfill your responsibilities.

Unless you show up to those schools; pay attention to demonstrations those teachers; listen to your parents, grandparents and other adults; and 22 meaning put in the hard work it takes to birmingham succeed. And that’s what I want to focus on today: the catch, responsibility each of you has for your education. I want to start with the to Forget Essay, responsibility you have to yourself. Every single one of you has something you’re good at. Every single one of you has something to offer. And you have a responsibility to catch 22 meaning yourself to hero journey archetype discover what that is. That’s the opportunity an education can provide. Maybe you could be a good writer maybe even good enough to write a book or articles in a newspaper but you might not know it until you write a paper for your English class. Maybe you could be an catch, innovator or an inventor maybe even good enough to The Pequot to Forget come up with the next iPhone or a new medicine or vaccine but you might not know it until you do a project for catch 22 meaning, your science class.

Maybe you could be a mayor or a Senator or a Supreme Court Justice, but you might not know that until you join student government or the masters dissertation structure, debate team. And no matter what you want to do with your life I guarantee that you’ll need an catch 22 meaning, education to do it. You want to Hard to Forget be a doctor, or a teacher, or a police officer? You want to be a nurse or an catch, architect, a lawyer or a member of our military? You’re going to need a good education for every single one of those careers. You can’t drop out of school and just drop into a good job. You’ve got to work for it and train for it and learn for it.

And this isn’t just important for your own life and your own future. What you make of your education will decide nothing less than the future of hero this country. What you’re learning in school today will determine whether we as a nation can meet our greatest challenges in the future. You’ll need the knowledge and problem-solving skills you learn in catch 22 meaning science and Outcomes of School Uniform Use Essay math to cure diseases like cancer and AIDS, and to develop new energy technologies and protect our environment. You’ll need the 22 meaning, insights and between Reproduction, critical thinking skills you gain in history and social studies to fight poverty and homelessness, crime and discrimination, and make our nation more fair and more free. You’ll need the catch 22 meaning, creativity and v. johnson (1989) ingenuity you develop in all your classes to catch 22 meaning build new companies that will create new jobs and boost our economy. We need every single one of you to develop your talents, skills and intellect so you can help solve our most difficult problems.

If you don’t do that if you quit on school you’re not just quitting on yourself, you’re quitting on texas v. johnson (1989) your country. Now I know it’s not always easy to do well in school. I know a lot of you have challenges in catch your lives right now that can make it hard to focus on your schoolwork. I get it. I know what that’s like. My father left my family when I was two years old, and I was raised by a single mother who struggled at times to pay the bills and wasn’t always able to give us things the other kids had. There were times when I missed having a father in my life. There were times when I was lonely and felt like I didn’t fit in. So I wasn’t always as focused as I should have been.

I did some things I’m not proud of, and got in v. johnson more trouble than I should have. And my life could have easily taken a turn for the worse. But I was fortunate. I got a lot of second chances and had the opportunity to go to college, and law school, and follow my dreams. My wife, our First Lady Michelle Obama, has a similar story. Neither of her parents had gone to college, and catch 22 meaning they didn’t have much. But they worked hard, and she worked hard, so that she could go to of School Uniform the best schools in this country. Some of you might not have those advantages.

Maybe you don’t have adults in your life who give you the support that you need. Maybe someone in catch your family has lost their job, and there’s not enough money to go around. Maybe you live in a neighborhood where you don’t feel safe, or have friends who are pressuring you to do things you know aren’t right. But at the end of the day, the circumstances of your life what you look like, where you come from, how much money you have, what you’ve got going on at home that’s no excuse for neglecting your homework or having a bad attitude. That’s no excuse for birmingham, talking back to your teacher, or cutting class, or dropping out of school.

That’s no excuse for catch, not trying. Where you are right now doesn’t have to determine where you’ll end up. No one’s written your destiny for you. Texas V. Johnson (1989). Here in America, you write your own destiny. You make your own future. That’s what young people like you are doing every day, all across America.

Young people like Jazmin Perez, from 22 meaning, Roma, Texas. Positive Uniform Use Essay. Jazmin didn’t speak English when she first started school. Hardly anyone in her hometown went to college, and neither of her parents had gone either. But she worked hard, earned good grades, got a scholarship to catch Brown University, and is now in dissertation structure graduate school, studying public health, on catch 22 meaning her way to being Dr. Jazmin Perez. I’m thinking about Andoni Schultz, from Los Altos, California, who’s fought brain cancer since he was three. He’s endured all sorts of treatments and surgeries, one of which affected his memory, so it took him much longer hundreds of extra hours to do his schoolwork. But he never fell behind, and he’s headed to college this fall. And then there’s Shantell Steve, from my hometown of The Pequot Chicago, Illinois. Catch 22 Meaning. Even when bouncing from foster home to foster home in the toughest neighborhoods, she managed to get a job at a local health center; start a program to keep young people out of The Pequot Essay gangs; and she’s on track to graduate high school with honors and go on to college. Jazmin, Andoni and Shantell aren’t any different from any of you.

They faced challenges in their lives just like you do. But they refused to give up. They chose to 22 meaning take responsibility for Relationship Reproduction, Art and Culture, their education and set goals for themselves. Catch 22 Meaning. And I expect all of you to do the same. That’s why today, I’m calling on each of you to dissertation set your own goals for your education and to do everything you can to meet them. Your goal can be something as simple as doing all your homework, paying attention in class, or spending time each day reading a book. Maybe you’ll decide to get involved in an extracurricular activity, or volunteer in your community. Maybe you’ll decide to stand up for kids who are being teased or bullied because of catch who they are or how they look, because you believe, like I do, that all kids deserve a safe environment to study and learn.

Maybe you’ll decide to take better care of yourself so you can be more ready to learn. And along those lines, I hope you’ll all wash your hands a lot, and stay home from school when you don’t feel well, so we can keep people from getting the flu this fall and winter. Whatever you resolve to do, I want you to commit to it. I want you to really work at it. I know that sometimes, you get the texas, sense from 22 meaning, TV that you can be rich and successful without any hard work that your ticket to Positive Outcomes of School Use Essay success is through rapping or basketball or being a reality TV star, when chances are, you’re not going to catch 22 meaning be any of those things. But the truth is, being successful is hard.

You won’t love every subject you study. Positive Of School. You won’t click with every teacher. Not every homework assignment will seem completely relevant to your life right this minute. And you won’t necessarily succeed at everything the first time you try. That’s OK. Some of the most successful people in catch the world are the ones who’ve had the most failures. JK Rowling’s first Harry Potter book was rejected twelve times before it was finally published. Michael Jordan was cut from his high school basketball team, and he lost hundreds of The Pequot War Is games and catch 22 meaning missed thousands of shots during his career. Between Mechanical Art And. But he once said, “I have failed over and over and over again in my life. And that is 22 meaning, why I succeed.”

These people succeeded because they understand that you can’t let your failures define you you have to let them teach you. You have to let them show you what to Relationship Reproduction, Art and Essay do differently next time. If you get in trouble, that doesn’t mean you’re a troublemaker, it means you need to try harder to catch 22 meaning behave. If you get a bad grade, that doesn’t mean you’re stupid, it just means you need to spend more time studying. No one’s born being good at things, you become good at things through hard work. You’re not a varsity athlete the first time you play a new sport. Mechanical Reproduction, Art And Culture. You don’t hit every note the first time you sing a song. You’ve got to practice. It’s the same with your schoolwork. You might have to do a math problem a few times before you get it right, or read something a few times before you understand it, or do a few drafts of a paper before it’s good enough to hand in.

Don’t be afraid to ask questions. Don’t be afraid to ask for catch, help when you need it. Positive Outcomes Uniform. I do that every day. Asking for help isn’t a sign of weakness, it’s a sign of strength. It shows you have the courage to admit when you don’t know something, and to learn something new. Catch 22 Meaning. So find an adult you trust a parent, grandparent or teacher; a coach or counselor and texas v. johnson ask them to help you stay on catch track to meet your goals.

And even when you’re struggling, even when you’re discouraged, and you feel like other people have given up on you don’t ever give up on yourself. Because when you give up on hero archetype yourself, you give up on your country. The story of America isn’t about people who quit when things got tough. It’s about people who kept going, who tried harder, who loved their country too much to do anything less than their best. It’s the story of students who sat where you sit 250 years ago, and 22 meaning went on to wage a revolution and found this nation. Students who sat where you sit 75 years ago who overcame a Depression and (1989) won a world war; who fought for civil rights and put a man on catch 22 meaning the moon. Students who sat where you sit 20 years ago who founded Google, Twitter and Facebook and changed the v. johnson, way we communicate with each other. So today, I want to catch ask you, what’s your contribution going to be? What problems are you going to solve? What discoveries will you make? What will a president who comes here in twenty or fifty or one hundred years say about what all of between Culture you did for this country?

Your families, your teachers, and catch 22 meaning I are doing everything we can to make sure you have the education you need to answer these questions. I’m working hard to fix up your classrooms and (1989) get you the 22 meaning, books, equipment and computers you need to learn. But you’ve got to do your part too. So I expect you to get serious this year. I expect you to put your best effort into everything you do. I expect great things from birmingham demonstrations, each of you. So don’t let us down don’t let your family or your country or yourself down. 22 Meaning. Make us all proud. I know you can do it.

Thank you, God bless you, and God bless America. oh, the neo-con Republicans were right! Do you see all the vile, despicable Socialist Health Care poison he loaded into this speech!? bigoted, hypocritical idiots… You know what’s sad? The Conservative/GOP propaganda machine will work very well. V. Johnson (1989). Why?

Because those who are afraid or upset by this speech will NOT read it. They will not get the 22 meaning, FACTS and actually see that this is NOT about v. johnson (1989) politics. It’s about America and our kids! I am ashamed of my race, because the people I have seen screaming about not wanting their children to hear what the 22 meaning, President of the United States of America has to say to between Art and Culture their children are, like me, white. They must be intact families, too. Don’t they realize that people come in many colors?

That some children have only catch 22 meaning, a single parent? That there a children who have no man in their lives to tell them what is demonstrations, expected of a young person sitting in the school room? My message to my college students has been “Don’t let anyone else define you. Catch 22 Meaning. Define yourself. Believe in yourself.” None of masters structure us can hear enough of the message, and starting when for the first time little kids sit next to THEIR peers (not your peers, Mom and Pop, theirs), they need to understand that we are all different, but each of us can work to the best of our abilities. good job, I love I am sure the kids who here it with too . The speech is catch, right on the money. As a retired high school teacher, I can say that President. Obama adressed every issue pertinant to education today in a style that every child can related to.

I feel really sorry for those children whose parents do not allow them to hear this inspirational speech because of their own prejudices. Good job, Mr. President! If your school/school district has decided NOT to show the President, consider keeping your kids home or going to masters structure school and getting them in time for the speech. 22 Meaning. Then take them back when it’s over. Positive Outcomes Use Essay. Schools need to get the message from someone besides the catch 22 meaning, rabid right! What is the Big Deal, The Preisdent of the United States is dissertation, going to tell the youth of catch our country to hero archetype stay in school, do well, and dream big. To bad he has to do this because Parants seem to have dropped to ball, The USA has one of the highest Drop rates in the world, No wonder jobs are be shipped out of the country.

I hope the kids in School listen and learn. I would like to see a poll based on ethnicity, regarding the President’s speech. I truly would like to know who or which ethnic group opposes this terrific speech. Oooooh! What an catch, insidious message! The people raising a stink about the birmingham, President making this speech showed how ridiculous and disengenuous they are. How shocking that a President would address children!

I remember a president who sat in a class of children reading a book about 22 meaning somebody’s pet goat while NYC and Relationship the pentagon burned. I remember a vice president who got in on helping teach a spelling lesson (by telling a child the wrong way to spell a word). The conservatives, in the name of protecting the country, are doing all they can to destroy it. It really is catch 22 meaning, sickening. I will go and watch the speech with my children. But knowing how dishonest people can be, I will also print out the speech that is shown here and take it with me, to see what is hero, added or taken out. We as parents are responsible for the things that our children here and see. 22 Meaning. I as their parent am responsible to raise my children, not the USA and not the President of the United States.

So fine give his speech but I will be there to insure that education is all its about. That is my God given right and responsibility. And I will say one thing about his speech. His facts are not exactly straight. Demonstrations. It was not students who set in the same school seats as our children are that founded this country. 22 Meaning. It was grown men and women led by God who fought for their freedom, the good thing was that they instilled those values into their children. Speech was modified. To Forget. I think, administration didn’t expect this kind of 22 meaning uproar and they backed down on they real speech. Anyways, the education of each individual starts at home.

My GOD — How can we ALLOW such venom to be spewed at our poor, innocent children. Journey Archetype. This speech absolutely drips with hateful, terrorist-loving, America-hating SOCIALISM! How DARE the “president” tell kids to STAY IN SCHOOL and STUDY HARD. You know who ELSE stayed in 22 meaning school and studied hard. Outcomes Use Essay. ADOLPH HITLER, that’s who. Catch. SEE?

THE REPUBLICANS WERE RIGHT. OBAMA IS WORSE THAN HITLER. You liberals are just blind to the horrors that this evil man has unleashed upon our precious little Republican snowflakes. (And for those too dumb and/or conservative to get it… I’m kidding.) So what part of this speech had all the noecons panties in a bunch? Oh thats right he’s black thats why, So, let me see…. conservatives don’t want their children to strive to be better.

Sounds about right for most conservatives who usually don’t tnink for between Mechanical Reproduction, Art and, themselves. Thank You Mr. President for caring for our children and catch their education. This is a phenominal speech and Relationship between Mechanical Reproduction, Art and Culture Essay any parent should want their child to hear it. Just know it is not about the speech. The people objecting it are those who are just ignorant and racist. Catch. They refuse to accept the fact that you are the president of the United States and Positive Uniform they are ignorant enough to believe you can not have a positive influence on their children. 22 Meaning. How sad……

It’s good teaching practice to have students follow up with an activity that helps students listen with a purpose, since they know they will be expected to write about Positive Outcomes of School Uniform what they heard. Secondly, by relating the speech to catch their own lives , students internalize the message. For those who object to the essay prompts (how they were inspired or how they could help the texas v. johnson (1989), president) certainly other prompts could be created.

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Resume templates: EXPLAINING STEP BY STEP. Here we go into detail. With our step-by-step guide to find out catch exactly what you need to look for in the various points of your resume. Simple in pattern click on the links below in the right column and gradually build your own resume perfect. I wish you success. University of Mannheim. – Focus Management Economics. – specializing in hero, e-commerce Thesis: “Cost-saving effects of catch, CRM systems in telecommunications companies with a size of v. johnson, more than 1,000 employees” (note 1.0) Claus von Stauffenberg School.

case study on introducing a Customer Relationship Management system (CRM) in catch 22 meaning, a company in the metalworking industry. programming a PC host interface with C ++ case study on the introduction of Hard to Forget, a document management (12 weeks) Institute of catch, Project Management, Stuttgart. Published in: books for academic work No. 8/2013, S.21-25. Free Resume templates and Basic information and thoughts to resume. The curriculum is an integral part of an application.

As a rule, includes these two pages – in students may already be sufficient page. Through the resume to a hiring manager can quickly get a first impression of a candidate. Moreover, he can this document refer to important information, which will enable him to match the requirements of a post to be filled with the profile of the candidate. In order for between Reproduction,, all this to happen to the satisfaction of the personnel in charge, a clear structure, and catch, clearly structured information is an important point that a candidate should be considered when writing a resume. In addition, it is advisable if possible to focus only the important information and to dispense with the indication of unimportant and Relationship Reproduction, Art and Culture Essay, irrelevant to the job data. Thus, the applicant profile can be sharpened to a, on the other hand, a clean focus help ensure that relevant information is not read. These data / content should be found in your resume. In a resume are usually first the personal data of an applicant to find. Catch! These data are clearly presented and structured in dissertation structure, the space provided. The personal information should generally include the 22 meaning, following information (see CV form on birmingham this page.): Full address phone number E-mail address Date of catch, birth and place of birth Marital status Nationality (only if this can not be derived)

In addition, this area of the document can be provided with a matching photo. On the Relationship Reproduction, Art and, “Personal Information” is followed (if it already exists) the career path of a candidate.In this area the previous work stations of a candidate are listed. The anti chronological order allows the catch 22 meaning, reader easily to remove the current or the last professional position of the applicant. The indication of the respective data is carried out in a rule as shown below (see CV form on this page.): date Job Title Company / Organization with place optionally industry and number of employees 3-5 activity provided (if possible, the selection of these activities should be geared to the requirements of the new location) Each professional station gets this such a block within the CV. The career follows the dissertation, section with information about the training. This is reported in accordance with the 22 meaning, professional positions with date, training or academic title, company / organization / school / college and texas v. johnson, training content. For a continuous representation of the 22 meaning, data with respect to the formation should be presented anti chronologically. Below are some key points to this block (see CV form on this page.): date Name of training Company / Organization / School / College with place optionally industry and number of demonstrations, employees where appropriate training content possibly final grade and subject of the thesis.

To highlight completed training, but a separate area can be created. 22 Meaning! Alternatively, these measures may be placed “training” in the field. The training provided should not be too far back and be relevant to the desired location, if possible beyond. then the next block form the “Special skills” of a candidate. This area offers the opportunity to birmingham demonstrations make the recruiters on additional knowledge attention, which in turn are best if relevant for the intended location. Behind the 22 meaning, “Special skills” to hide information about computer skills or computer skills, language skills, driving license and other skills that are of relevance.Additionally, it should be done for all knowledge, either a self-assessment or proof of the birmingham demonstrations, level of catch, knowledge. For examples relating to the presentation of such knowledge see the CV form on this page.

In conclusion, even an birmingham, area with interests and hobbies are inserted. This area should, however, take up little space in your resume, because although it may round the first image of a candidate, but should not get too much focus. The most important information of the applicant are in 22 meaning, the overlying or preceding sections. When specifying hobbies and interests should be taken to ensure that the The Pequot War Is to Forget, mentioned pastimes no negative concerns about the future performance of an catch 22 meaning, employee wake (eg, extreme sports with a high risk of v. johnson, injury - This might fear the recruiter that the catch, candidate could turn out often). In conclusion then follows the texas, signature. This gives the document nor a personal touch and is also often seen as assurance that the information supplied by the applicant are correct. Frequently asked questions about CV.

Below you will find frequently asked questions and answers about the catch 22 meaning, CV. Where the Relationship between Mechanical Art and Culture, CV is placed in the application folder? At what point of the resume is on the order of the application documents? In classical Bewerbungsmappe the CV is 22 meaning arranged directly after the cover letter. If a cover sheet is texas used, it usually follows the cover letter – the CV is then added directly to the cover page in the application folder. If the application via e-mail, so the resume is usually queued immediately after the cover letter in the application document. The application cover sheet (if present) is then usually in the first place, even before the letter.

To create a resume, you can use, for example, the above templates and patterns as a basis.In order to work with a CV template of 22 meaning, your choice, you need Microsoft Word from Word 2007. Alternatively, you can also use word processing programs such as OpenOffice or LibreOffice for masters, creating your resume. However, please note that when using our templates in catch, combination with the two programs latter can serious compatibility issues. A curriculum vitae is a tabular representation of structure, your personal history. Earlier on this page you will find several examples and your CV. What should I consider when choosing a resume template? When choosing a resume template, it is advisable to catch check the filters: Suitable to the layout of the template for dissertation structure, the substantive scope of catch, my career and its representation? Fits the original optically to The Pequot War Is to Forget Essay the job, the company and the industry? Fits the bill to 22 meaning my personality? Should a CV template not 100% satisfied with your, so you can use it as a basis and birmingham demonstrations, adjust them to your needs.

The above CV format for Word, you can use Word to edit from 2007 onwards. Both a content adaptation, as well as an adaptation of the design / layout is possible. In a (tabular) CV is a compressed and focused presentation of catch 22 meaning, your previous career.Important information should already be clear as possible when flying over The Pequot War Is Hard to Forget Essay the life course for the reader. Data are for a point of no relevance, should either be omitted, or be represented if necessary as short and concise. Use at the individual stations in your resume if possible bullet points to 22 meaning present your relevant for structure, the job qualifications and skills clearly and structured. A resume should not exceed two A4 pages as a rule. Depending on the length of the previous career may be sufficient an A4 page. At what point should I start on your CV?

How far should I go back in catch 22 meaning, chronological resume? In most cases, you can start on demonstrations your resume from the secondary school. A visit to an elementary school, all applicants in 22 meaning, common, so that this station does not matter for filling positions. Chronological or reverse chronological CV – what order is birmingham demonstrations suitable for the resume? As a rule, an 22 meaning, anti-chronological, chronologically decreasing order for the CV is well suited.This is for the reader the latest (and therefore often the most relevant) information easy to find. Why should my resume be consecutive?

Gaps in your CV often raise questions and to Positive Uniform Use Essay the reader with the feeling that the candidate is 22 meaning trying to hide something. Birmingham Demonstrations! To get around this, a resume should therefore be possible without gaps. What can I write in CV unemployment rather than “unemployed”? active formulations are better suited than their passive counterparts for the CV. 22 Meaning! Instead of the v. johnson (1989), passive phrase “unemployed” you could use “seeking work” on your resume therefore active formulations such as. My resume is too long – I can leave? To shorten your resume you can cut, for example, information on qualifications or skills that are not or only of limited relevance for the intended position, or optionally omit. If it is professional or educational stations, so you should indeed retain in any case – otherwise gaps would arise – but the possibility to reduce the number of bullet points or even completely dispense with bullet points. Catch! The sections “knowledge” and “interests” are, usually best to cut the CV. What font and size suitable for your resume?

legible font with a serious effect are for the CV, as well as for between Mechanical Reproduction, Art and Essay, all other application documents suitable. Examples of such fonts, for example Arial, Times New Roman, Open Sans, Verdana or Garamond. Sizes between 10pt and 12pt are in terms of font size, depending on the selected font, usually suitable. Catch 22 Meaning! For headings can optionally also a larger font size to birmingham demonstrations be useful, if this is just for clarity. Generally it should be ensured that uniform fonts and font sizes are used in all application documents. How can I write my resume? Where the CV is signed?

The curriculum will be signed at the end. Depending on the visual preference either two blank lines may be added in the CV after the last station for the signature. This is 22 meaning followed by the place and hero, date, as well as a handwritten signature. Alternatively, place and date left justified and the handwritten signature may be positioned flush right after the last station of the resume. For the signature a suitable writing tool (eg. Fillers in blue ink) is recommended. If the resume submitted online, so you can sign on a white sheet of paper and then scan your signature. Where can I mention my driver’s license in your CV? Your driver’s license, you can specify within the section “Special skills” with the appropriate license categories.

The photo is usually placed right-justified in the curriculum vitae within the catch 22 meaning, section “Personal data”. If a cover page is used with photo, can be dispensed with in the resume on a photo. What file format should I use for my resume? The CV should always be sent as a PDF file. Journey! This file format has the advantage that it can not be readily changed. How can I save my resume as a PDF file and catch, send it? Your resume example, you can save directly into Word as a PDF file.

To do this, simply change the file type in the “Save As” dialog on “PDF”. Please make sure that your resume previously as editable Word file (eg. “.docx”) Save to edit it again at a later date. You can then send your resume as an masters dissertation, email attachment, or via file upload in an online application portal. Errors in your resume: where the pitfalls lie. If you apply the letter is 22 meaning devoted the most attention and energy. The curriculum is however in many cases quickly and according to the book checked. A mistake, because the devil is in the detail and texas, the resume is more important, as many candidates is clear. Too little concrete information on the recent activities Missing evidence cited activities Gaps in your CV Unrealistic-perceived language skills Improper Hobbies. Exaggerated clear layout customization Excessive distortion of her own style Too much text and catch 22 meaning, tags on birmingham demonstrations individual stations To elaborate layout suffered by catch 22 meaning, the clarity Stilbruch between letter and resume Outdated application photo.

Clear answer: No Fake degrees, academic titles purchased or never graduated workstations are not peccadilloes or white lies, but fraud. The can through to forgery rich and always has therefore a veritable ground for dismissal . Even after one has begun the Outcomes of School, job for a long time. At worst, the civil consequences entail. From this type of CV-polish so you should strictly stay away. Against other cosmetic procedures is less objection: Chronic diseases , for example, which have no influence on 22 meaning the job, you do not need to mention. The same applies to successful stays in an addiction clinic . Also you can move through skillful representation in Essay, a slightly better light – for example, if your past successes will substantiate by numbers: Do these in catch, absolute form is not quite as convincing, then make up percentages or refer to rankings.

Were you in the job not the number 1? Then be stated precisely that you were among the top 5 of the company. If you are not the absolute leader have worked, use similar comparisons as among the top three companies in the industry . So if you resume templates to use, please make absolutely sure this individualize by skillfully devising and arranging still suit their respective target companies.

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Angelina Jolie Pitt Adds Professor to Her Resume! Angelina Jolie Pitt continues to impress with her range of pursuits and now she is adding the role of professor to her resume! The 40-year-old actress and catch activist will become a visiting professor at the London School of Economics for the 2016-2017 school year. Angelina will be teaching a master course on women, peace, and security, according to People . #8220;I am very encouraged by v. johnson the creation of this master#8217;s programme. I hope other academic institutions will follow this example, as it is vital that we broaden the catch discussion on how to advance women#8217;s rights and end impunity for crimes that disproportionately affect women, such as sexual violence in conflict,#8221; Angelina said in a statement. #8220;I am looking forward to teaching and to learning from the students as well as to sharing my own experiences of working alongside governments and the United Nations.#8221; Tom Petty is Positive Uniform Use Essay remembered by his music Warner Bros. Records - TMZ Shawn Mendes is trying to find inspiration for his next album - Just Jared Jr Miranda Lambert is catch engaged! - TooFab The Good Doctor gets picked up for a full season by ABC - The Hollywood Reporter Vanessa Hudgens reveals when she'll release new music - Just Jared Jr.

So proud of her.. Amazing.. she is branching out in so many areas. I#8217;m sure there will be lots of people signed up for Outcomes of School it. Catch 22 Meaning! Thank god there is a woman like Angie and texas v. johnson (1989) the other tireless, brave, nameless and faceless advocates who are out there in the trenches trying to protect women and catch 22 meaning children from the ravages of hero journey archetype, being cursed with less social, political, economic and physical power. JJ heared your appeal for a new thread. JJ heared your appeal for a new thread. I think he has alerts from Peeps#8230;#8230;#8230;seems that is where he picks up most threads. I think he has alerts from Peeps#8230;#8230;#8230;seems that is where he picks up most threads. Yeah, new Angie thread. Angie the real Wonder Woman.

Yeah, new Angie thread. Angie the catch 22 meaning real Wonder Woman. Angelina is doing some impressive things. I#8217;m exhausted just reading about everything she does, my hat#8217;s off to her. Dissertation Structure! OH YEAH.. everything is working great for me.. 22 Meaning! Here here Dawne. Angie continues to reap her illustrious KARMA for being such a giving Soul.

This is interesting Georgetown University is considering to do this subject in stateside. Professor Jolie Pitt: Angelina Joins London School of Economics as Visiting Professor for New Women#8217;s Study Program. BY JODI GUGLIELMI. Angelina Jolie Pitt is taking her passion for women#8217;s rights and gender equality to Positive of School the classroom. Catch 22 Meaning! The actress, 40, is set to join the London School of Economics as a visiting professor for texas v. johnson (1989) the new masters course on women, peace and security for the 2016-2017 school year.

As a visiting professor, Jolie Pitt will deliver guest lectures, participate in workshop and public events, and continue research on projects. #8220;I am very encouraged by 22 meaning the creation of this master#8217;s programme. I hope other academic institutions will follow this example, as it is vital that we broaden the discussion on Outcomes how to advance women#8217;s rights and end impunity for crimes that disproportionately affect women, such as sexual violence in conflict,#8221; Jolie Pitt said in a statement. #8220;I am looking forward to teaching and to learning from the students as well as to sharing my own experiences of working alongside governments and the United Nations.#8221; The course, which is the first of its kind internationally, was launched last year by 22 meaning Jolie Pitt and Britain#8217;s former foreign secretary, William Hauge – who will also serve as a visiting professor. The Georgetown Institute for Women, Peace and Security Ambassador Melanne Verveer said they, too, are looking forward to bringing the program to the stateside campus. #8220;I was pleased to meet with Angelina Jolie during my recent trip to texas London on ways we at Georgetown University can continue the collaboration between our sister programs on both sides of the Atlantic,#8221; said Verveer. #8220;We look forward to 22 meaning welcoming Angelina and former foreign secretary Hague to Georgetown in the future.#8221; This is interesting Georgetown University is considering to do this subject in stateside. Professor Jolie Pitt: Angelina Joins London School of Economics as Visiting Professor for New Women#8217;s Study Program. BY JODI GUGLIELMI. Angelina Jolie Pitt is taking her passion for (1989) women#8217;s rights and gender equality to the classroom. The actress, 40, is set to catch 22 meaning join the London School of Economics as a visiting professor for the new masters course on women, peace and security for the 2016-2017 school year.

As a visiting professor, Jolie Pitt will deliver guest lectures, participate in workshop and public events, and continue research on projects. #8220;I am very encouraged by the creation of this master#8217;s programme. I hope other academic institutions will follow this example, as it is vital that we broaden the discussion on dissertation structure how to advance women#8217;s rights and end impunity for crimes that disproportionately affect women, such as sexual violence in conflict,#8221; Jolie Pitt said in 22 meaning a statement. #8220;I am looking forward to teaching and to learning from the Positive Uniform students as well as to sharing my own experiences of catch 22 meaning, working alongside governments and the United Nations.#8221; The course, which is the first of its kind internationally, was launched last year by Jolie Pitt and Positive Uniform Use Essay Britain#8217;s former foreign secretary, William Hauge – who will also serve as a visiting professor. The Georgetown Institute for Women, Peace and Security Ambassador Melanne Verveer said they, too, are looking forward to bringing the program to the stateside campus. #8220;I was pleased to meet with Angelina Jolie during my recent trip to London on ways we at Georgetown University can continue the collaboration between our sister programs on both sides of the Atlantic,#8221; said Verveer. #8220;We look forward to welcoming Angelina and former foreign secretary Hague to Georgetown in catch 22 meaning the future.#8221; She is making headlines. In my Parents’ home country, the Mechanical Reproduction, Art and two biggest newspapers have it on front page. Also in 22 meaning France and Spain. She is making headlines. In my Parents’ home country, the The Pequot two biggest newspapers have it on front page.

Also in France and Spain. Proud of her,she always surprises in a good way. I might be jumping ahead but I am going to catch call this Lord Hague and Dame Angelina will win the Nobel Prize in the future. Maybe sooner than we think. This is (1989) how you do it. Dame Angelina. Angelina is 22 meaning now. Structure! Mother of six, Wife, Actress, Director, Screenwriter, Producer, Diplomat, Global Activist and Professor. Catch 22 Meaning! Even writing this makes me tired. Angelina is now. Mother of Relationship between Culture Essay, six, Wife, Actress, Director, Screenwriter, Producer, Diplomat, Global Activist and Professor.

Even writing this makes me tired. Angelina is 22 meaning now. Mother of six, Wife, Actress, Director, Screenwriter, Producer, Diplomat, Global Activist and Professor. Even writing this makes me tired. Outcomes Uniform Use Essay! Angelina is now. Mother of six, Wife, Actress, Director, Screenwriter, Producer, Diplomat, Global Activist and Professor. Even writing this makes me tired. Angelina is now. Mother of six, Wife, Actress, Director, Screenwriter, Producer, Diplomat, Global Activist and Professor. Even writing this makes me tired. Thank you Sandra!

Whuh? Professor Jolie Pitt? Ruh roh! The FFers and catch trolls will be here forthwith, #8220;She doesn#8217;t even have a high school diploma so how the demonstrations hell is she going to teach a graduate level college course?#8221; So Angie, who doesn#8217;t have a college degree at catch, all, is birmingham demonstrations going to be a #8220;visiting professor#8221; at the program she helped create at the LSE#8230;and WLC, who has 2 advanced degrees, had to marry a rich old geezer and 22 meaning become a fameho to get a similar invite from Columbia. Now#8230;does anyone really seriously think Angie has plans to be in either Captain Marvel or The Bride of Frankenstein? Exactly. Whuh? Professor Jolie Pitt? Ruh roh! The FFers and trolls will be here forthwith, #8220;She doesn#8217;t even have a high school diploma so how the hell is she going to texas v. johnson (1989) teach a graduate level college course?#8221; So Angie, who doesn#8217;t have a college degree at all, is going to be a #8220;visiting professor#8221; at catch 22 meaning, the program she helped create at the LSE#8230;and WLC, who has 2 advanced degrees, had to marry a rich old geezer and become a fameho to get a similar invite from Columbia.

Now#8230;does anyone really seriously think Angie has plans to be in either Captain Marvel or The Bride of Frankenstein? Exactly. Seems to be Angie is doing more things besides planning the birthday-party. Archetype! What incredible woman! my respects. Seems to 22 meaning be Angie is doing more things besides planning the birthday-party.

What incredible woman! my respects. inshallah it will happen. She being groom for (1989) it to happen. She being groom for it to 22 meaning happen. She being groom for it to happen. Relationship Mechanical Reproduction, Culture! She being groom for it to happen. She being groom for it to happen. Catch 22 Meaning! Wow! That#8217;s awesome. Simply for professorship?

Cool#8230; Amazing woman that is what she is. How can anybody believe that Brad and Relationship between Mechanical Art and Culture Essay Angie are not made for each other. Tabloids keep throwing stuff at them but they hold strong for their family. Amazing woman that is what she is. How can anybody believe that Brad and Angie are not made for each other.

Tabloids keep throwing stuff at them but they hold strong for their family. Amazing woman that is what she is. How can anybody believe that Brad and Angie are not made for each other. Tabloids keep throwing stuff at them but they hold strong for their family. She isn#8217;t paid for this job though.

Now she#8217;d have to catch 22 meaning use Brad#8217;s money to texas v. johnson (1989) shop while she waits for Maleficent 2 LOL!

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construct a resume Exact circle division by five #151; how to draw the perfect five point star. What Natural (whole) numbers divide a circle exactly? Meet the perfect all-star families. Construct the real and the virtual shapes #151; and take them to 3D. Give me a ring and I will make it sing G eometric construction of the pentagram, pentacle, pentagon, and the five pointed star #151; and spice it up here and there with three kinds of ten pointed stars. H ow to sketch a five pointed star on 22 meaning a clock template, for kids [yes, pick a better shade of pink]. Tilt and rotate and double them. draw stars of archetype, pentagrams and pentagons using a compass and straightedge (two geometric methods) construct a pentacle directly inside your own circle or with your own sides length (point-to-point dimension). What you pick #151; large or small #151; will be a rational and therefore an exact measure.

tell the diff between a pentacle and a pentagram and catch, why there are several pentacles. determine the inside and birmingham, outside angles of a pentagram. find the golden proportions that are inherent in a penta. star and grow them, too. make a five-point star indirectly via pentagon tiling #151; and vice versa.

create fancy five pointed stars plus a ten pointed hyperstar from a half-square rectangle (in a new tab) get the catch, only harmonious ten pointed star of a decagram by birmingham, always skipping 6 points. design 5 point stars as art forms #151; inherit the 22 meaning, energies if you stick to masters dissertation nature. combine the up and down pointing pentacles into a brand new hyperstar. On five circles. Catch 22 Meaning? You'll be in the micro but this is huge. W hat does it mean if a pentagram is v. johnson, encircled once or twice #151; a star is on a single circle or in-between of two concentric circles. built from interlocking rings. S ymmetry in a five pointed star #151; there are several kinds of symmetry and .. ..

A perfect three pointed star can be had on a circle or semicircle #151; and it's doubled for a regular six-point star or a hexagon already. You could divide a circle by catch 22 meaning, 3 exactly but a general 3-way division applicable to universe building and traveling can also be had. Hexagon and hexagram stars are behind viruses. A perfect square is archetype, a four pointed star. A n eight pointed star and a twelve pointed star share the same construction. B oth stars are perfect and both take you beyond counting as well. 16 and 22 meaning, 24 pointed stars also share the same construction. Just as the eight and between, 12 pointed stars, they are in the 3:2 musical ratio and because the catch, growth of stars in this ratio is structure, unbounded we have a separate page on that (in a new tab) H ow many perfect stars can you make with geometry? With arithmetic?

Number 36 is (abundantly) divisible by 2, 3, 4, 6, 9, 12, and 18 #150; yet, you cannot make a perfect 36 pointed star. Geometry vs. Arithmetic is 22 meaning, a very old topic, very unresolved, and demonstrations, very relevant; and. Numbers are not just symbols. In a circle they make 1 ) stars on paper and 2 ) atoms in 22 meaning, space. A comment on a seven pointed star (heptagon). Hit a snag in a circle, but .. P entagon Pyramid . Fusion of numbers in three dimensions is good but it is not about averaging. T he four sided Great Pyramid construction is via the golden proportion and has its own page (in a new tab) A five pointed star just for kids.

If you can tell time you can sketch this and other stars by hand. Oh, use the Outcomes Use Essay, free template below at first. I'm the author of the illustration above but this one is freed from copyright. (With the Chrome browser you can drag-and-drop this illustration onto your desktop as the .gif file.) Have a look at some pics from the catch 22 meaning, stone circle at The Pequot Avebury in Wiltshire, UK. Draw a star, any perfect star. Can you see how you could lay out and sketch several stars using but one construct from the catch 22 meaning, clock's minutes? You probably haven't heard the word 'a construct,' but a template is usually just for tracing and copying.

Can you join the points by skipping some? Odd and birmingham demonstrations, even number of points makes a big difference. 22 Meaning? Here are the from-the-ground-up geometric constructions of eight and birmingham demonstrations, 16 point stars of a compass rose. [ Now, can you imagine making ALL perfect polygons and stars in the above 60 pt construct? If each point were to glow differently for each star, would you get a cool and unique pattern I could lock on to half way across the galaxy? Oh, you make it glow by catch 22 meaning, having each point a semiconductor junction, similar to an LED. For the junction you need an amorphous substrate and a crystaline piece of a rock. Because you want to power up the whole circle, your power source is a bit more than just a single lay line.

Except, how would you stop the primitives on the planet from The Pequot Hard to Forget, messing with the stones? Yeah, it is all sacred feminine kind of stuff. If that doesn't work, cover the 22 meaning, whole thing with soil a call it an ancient sacred burial mound.] Historically, geometric drawing of a pentagram star was considered a secret. One can appreciate keeping the of School Uniform, formula and 22 meaning, directions secret because the construction of a five-point star is not obvious even if you worked in geometry for some time. Yet, if you could draw the dissertation structure, perfect star only through geometry, the 22 meaning, secrecy takes on extra dimensions.

To draw a (regular) pentagon, the segment must be exactly one fifth going around the Hard to Forget Essay, circle. Stars are pretty and circles are everywhere, yet there is but slowly growing understanding of stars and circles. (This is not the case in China, for the Taoist movement and Taoist philosophy can be said to issue from a circle.) A circle gap exists not because we've lost our compass or a desire to admire crop circles, but it is catch, because a circle is frowned upon by Outcomes of School Uniform Use Essay, the Catholic Church and because the reductionists of the 20th Century lost the link to the source of a 0D point. Catch 22 Meaning? With it, we also lost great things that the dimension zero brings to the table. So there is a book coming out late 2013 resurrecting a circle as well as the stars that are the dimension zero's first application. Oh, 99% of all moving energy in the universe is in spin and masters structure, orbits.

Not only 22 meaning, that. Birmingham Demonstrations? If you want to build something that doesn't just fly away, you have to do it in a circle (you cannot build an atom or a planetary system as a static entity). Going through external edits, the working title of the book is ' Stars and Rings .' No whole number can divide a circle exactly arithmetically but some whole numbers can divide a circle exactly geometrically. This is the first differentiator between geometry and arithmetic.

When it comes to dividing a circle's circumference (or area) with a straightedge and compass, we always strive for the exact division. The perfection is not about some quirky obsessions of ancient Greeks and today's teachers, however. If we finish our assignment in catch, a finite number of steps and achieve an exact division, we would then claim executability and creation of birmingham, such structures could be implemented in nature. Computer's arithmetic gives us precise #151; but not exact #151; answers when working with incommensurable (irrational and transcendental) numbers, but the geometric way can be exact and have much utility just because of that. We will apply the division of a circle in the atomic construction below. Yes, the exact construction is about the (exact) conservation of energy. If the length of a circle's straight segment (cord) is exact, then the segment's length is unambiguous and can be expressed as a finite number. A finite number is also a rational number. If the cord's length were an irrational number then such number's sub-unity portion (mantissa) is infinite and we could not agree on catch 22 meaning its exact length #151; but we could agree on Relationship Mechanical Essay the exact distance between the two end points because the catch, two end points can be constructed exactly geometrically. Irrational numbers are executable (or expressible) geometrically but not arithmetically.

This is the second differentiator between geometry and arithmetic. You might skip on the diff between length and distance right now #151; later you may avail to the explanation and construction of the incommensurable numbers (irrationals and masters dissertation, transcendentals). Instructions on catch 22 meaning geometric division of Positive Uniform Use Essay, a circle into five equal and exact parts #151; in catch 22 meaning, five steps: If you want to Hard to Forget construct the penta. with a circle radius of your choice , point A is one unit distance (one-half of the radius) away from 22 meaning, origin O . When you divide a circle into exact fifths along the periphery you now have the template and : Finish the dissertation, pentagon by connecting every neighboring point and catch, erase the circle. Inscribe it counterclockwise if you want to be disharmonious (ratio 9:5), clockwise if harmonious (6:5). (Cw and ccw makes a big difference #151; think enhanced modulo math. Ccw is acw for the Brits.) Make the pentacle by connecting every other (second) point. Dissertation? If you do it counter-clockwise, you will be doing it in the 8:5 ratio, which is harmonious, and catch, you should not have a problem with that once you understand that the underlying pattern mechanics are clockwise #151; it's on the Venus page. Pentacle is the easiest and the simplest to do because it does not require erasing. Does it mean it is the most fundamental?

Complete the pentagram from demonstrations, pentacle by erasing the circle. Make the five pointed star from pentagram by erasing the inside (smaller, upside down) pentagon. Also see pentagon tiling, further on. The unit distance u is the shortest distance used in construction of a particular star. All other parameters (radius/radii, cord) are then calculated in terms of u . This is new . All formulas for stars should be computed from the unit distance and not from, say, a radius because there are star constructions that use several circles. In our example, the equation for catch the length of the cord c in Relationship between Mechanical Art and Culture Essay, the above construction comes from two Pythagorean relations and is quite involved: In either case, you can now substitute any distance for u and get the measures of the catch 22 meaning, rest of star's parameters.

There is journey, more to this. 22 Meaning? Geometrically, the square root of five, for example, can be of any length and The Pequot Essay, this length issues from the unit distance used in the construction of the SQRT(5). When working the pyramid you first have to find the unit distance before making sense of the rest of the catch, (micro and/or macro) proportions. Polygons and stars. gon identifies the point connections that go straight from one point to the nearest next point on a single circle #151; poly gon in dissertation, general. When you say regular polygon you are emphasizing that all segments span the same distance and all points are on one circle. 22 Meaning? Stars do not have to hero take a straight path from one point to the next and do not all have to be on but one circle. The star's points could be connected by a curve or a kink line or the connections just skip one or more points.

As you go around the catch, center from one point to the next, you might keep turning in but one direction and then the star is said to hero journey be convex. Regular polygons are always convex. Sometimes the points move inbound and catch, out, particularly with multiple circles holding the points, and you keep turning left and right when moving from The Pequot War Is Hard to Forget, point to point. 22 Meaning? In such case the The Pequot to Forget, star is said to be concave. This is catch, how things stood until our hyperstar, which has groups of three points lined up straight (and there are no turns). The hyperstar is discussed in the right column.

The hyperstar is not regular. All points of all regular stars and polygons are on The Pequot War Is Essay a circle and catch, are equally -- that is texas, evenly, and exactly spaced going around the circle. The best way of seeing it is that they have the exact fraction of a circle between them. However, only some stars are constructible exactly #151; see Perfect Families. Catch 22 Meaning? As to the actual angles between points #151; see below, for these angles could be irrational numbers. (For now, ask yourself if a protractor can give you any irrational angle.) Having said all that about between Mechanical Art and, polygons and stars, don't get hung up on technicalities. Catch 22 Meaning? A star is such a pretty word (and polygon such an ugly one), that using a star for both is just fine.

Some say 'twelve sided' when talking about a polygon and 'twelve pointed' when talking about a star. If there is a section of a circle with a start and masters structure, a stop, such as when speaking of the Signs of the Zodiac, 'twelve sided' makes more sense. If you read other things about geometric stars, don't get derailed by mainstream math classification of stars. Scientists do not take into account the cw or ccw star creation, likely because the mainstream does not know the applications difference between the two. (Harmony-disharmony enters here but there is more to catch it besides cw or ccw.) Also, math guys presently keep one point fixed and the other point advancing cw in a circle by a certain number of steps to make the next point of a star. But of course, mainstream scientists are in the Dark Ages thinking there is demonstrations, a fixed reference point. The Quantum Pythagoreans book gives all planets orbiting frequencies from catch 22 meaning, which the stars are made and, gee, the Earth is orbiting while the hero journey, cw or ccw point-to-point trace arises mathematically from that. Mainstream math guys' definition of catch, a star is that you can see all parts of a star from its center. This is Outcomes of School Uniform, a great example of a definition of arm chair convenience because the Venus-Earth interplay makes a cool curlicue between points of a five pointed pentacle star and this does not match the scientists' definition of a star #151; so here is ours. Why should a circle division be made of equal (evenly distanced) segments? There is 22 meaning, nothing wrong with unequal lengths if that's your fancy and there could be a really good reason with a heptagon (see below).

However, an electron's wavelength is proportional to the electron's energy and Positive Outcomes Use Essay, if several wavelengths of one electron were to fit (were to close) around the nucleus then they have to do so in whole multiples of the same distance. It's about the numbers (in a circle). There are many geometric ways of constructing pentagon or pentagram patterns and catch, symbols. The construction presented here has the length of the side of the pentagon c the incommensurable (irrational) distance #151; that is, the measure of the side's distance is composed of an Essay infinite number of digits (that do not repeat individually or as a group). Other constructions make the side c a rational distance, which is catch, better suited for the Great Pyramid's purposes. In the pyramid, one half of the side of the base is (must be) a rational unit of Relationship between Mechanical Reproduction, Art and Culture, measure, for such measure is executable and can become. (For transcendentals you may have to put a kink in that.) The connection between the catch 22 meaning, five sided pentagon/pentagram and texas v. johnson (1989), the four sided Great Pyramid is through the golden proportion , a subject that lets you understand how to catch 22 meaning draw and construct the Great Pyramid, and include the pinch on its side. Angles in a five p ointed star and how they relate to the golden proportion. Determination of pentagram's angles is easy #151; on the interior or the exterior. First, if (any) two angles have their arms intersecting at 90 degrees then the two angles are the same. The central (Egyptian) star below has 360/5=72 degrees between its arms.

Because the arms (rays, spikes) of Positive Uniform, this star are at right angles to catch 22 meaning other angles then such angles are also 72 degrees. Masters Dissertation? You will get to 108? angle inside the 22 meaning, pentagon with the subtraction of the masters dissertation, 72? angle from 180? (from a straight line). You will note two special triangles on the pentagram when making design extensions to 22 meaning the sides (below). Between Mechanical Reproduction, Art And? One has the interior angles of 72, 72, and 36 degrees while the second one's angles are 36, 36, and 108 degrees. Both of catch, these triangles are golden because their sides are in the golden proportion. There are many other golden proportions on the pentagram but these two kinds of triangles are important in the micro (atomic) domain, particularly as related to orbital jumps. In multiples of one tenth of a circle. All angles internal and external to the pentagram or the five pointed star are in multiples of 1/10 of a circle: from Relationship between Art and Culture Essay, 36? on 22 meaning to 72?, 108?, 144?, 180? . 324?, 360?. A circle can be divided by 10 exactly and so all angles in and around a pentagram are exact and perfect. A pentagram, aka pentalpha, is a prominent symbol of the Pythagoreans. It is Relationship Reproduction, Culture Essay, said the pentagram is good for one's health, and there could be something to it considering the golden proportions that are all over the star.

I think it is 22 meaning, also likely the pentagram's prominence is due to having an abundance of the number 10 while adding a circular aspect to the many number 10 aspects of the masters dissertation structure, Pythagorean Tetractys. The number 10 is also fundamental in designs of obelisks, including the Washington Monument. Self-test:-) If you think an obelisk is a phallic symbol then you've just begun. The angle of 144? seems obscure (it's on the outside of the star) but it's the only angle you'll need if you want to draw a pentagram with a computer program the likes of 'Turtle,' 'Scratch,' or 'Logo.' The program would run like this (in pseudocode): Move 100 pixels [forward]

If these computer instructions do not mean much to you, you are doing well. First you want to create the geometric foundation #151; yes, in your mind, before resorting to a computer. The golden proportion consists of two numbers that at times relate through a ratio, in which case we speak of the golden ratio. The two golden numbers consist of one irrational number a that is catch, ( 1 + SQRT(5) ) and one rational number b that is 2 and, because these two numbers may relate to each other through multiplication or division or addition or subtraction or. V. Johnson? they should not be reduced into a single number. Reduction into a single number severely limits the application of the golden proportion and that is one reason scientists like to reduce it as the Phi [scientists have reductionist tendencies #150; perhaps not a disease but it could be a handicap]. Reduction into one number hides other relationships the two golden numbers might have. The golden spiral. Golden spiraling happens naturally in 2D or 3D as you observe the golden proportions and figure out how you could grow them. Fancy math will give you a smooth spiral but if you stick to the golden proportion you will be going in discrete steps. (You'll need to understand why staying with the golden steps is superior to smooth fancy math.

It has nothing to do with efficient packing of seeds/objects, and you just might see the quantum effects on the macro scale.) Once you start putting the catch 22 meaning, golden proportions in the circular format, mathematically you'll be working the point/radial symmetry while entering a new area of endeavor. Also known in general as tessellations, doing it in 5-fold rotational symmetry is favorite of Dürer, Kepler, Penrose.. .. All pieces that make up sets for the five-fold 2D tiling have their angles in multiples of 1/10 of a circle . The multiples of 1/10 of masters dissertation, a circle construct the catch, shapes of diamonds, pentagons, ships, kites, darts, or double-decagons. Birmingham? A fancy Ninja star design on catch 22 meaning left also has all of Relationship between Mechanical Reproduction, Culture, its angles in tenths of a circle. The hyperstar goes even further using an exact division of a circle while providing constructs for orbital jumps. There is yet another (and last) golden triangle and that one does not appear on a pentagram.

It has a right angle and its hypotenuse with the shortest side are also in the golden proportion. This triangle is catch 22 meaning, one-half of the Great Pyramid going across the mid face and into the center of the birmingham, base. 22 Meaning? You can see it below on Relationship between Mechanical Reproduction, Art and Culture our Golden Eye design. Pentagon Dimension Priority : Diameter Dim or Point-to-point Length Dim. There is a dual approach to a geometric pentagon star construction. You can either specify the diameter of a circle that will place all points, or the length of catch 22 meaning, a pentagon's side that specifies the distance between points. Hero? In either case you start the catch, construction with the shortest unit length of 1 . On this page we show two constructions with Diameter dimension priority and in both examples the diameter ends up 4 units long (radius of 2). This means you can construct a star with a circle diameter of between Reproduction, Art and Culture Essay, your choice because there is the exact 1:4 relationship (scale) between the unit length you started with and the diameter of the pentagon's circle. In the case of a point-to-point Length dimension priority, or side Length priority, you start the catch, golden proportion construction with the hero, unit length of 1 . When finished, the 22 meaning, pentagon will scale to the side length of 2 . Birmingham Demonstrations? Pentagon construction with side Length priority has the exact side of your choice and is on the golden proportion page.

A circle has many positive connotations. What would be the idea of dividing it? Once you know what numbers can divide a circle, you can then build a circle. Not [yet] from real things such as wood or metal but from waves. It turns out that the waves must have a particular wavelength count (a particular multiple of catch 22 meaning, particular energies) before these waves are able to close in archetype, a circle -- and catch, thus be symmetrical about a point. You need to know what numbers can divide a circle before you can construct the circle from waves. You might think this is something witches do, and you would be right, but an electron is a wave that wraps around the nucleus, too. There is (always) a bit more to this. When a circle's periphery is cut and has a small gap, funny things happen as forces arise.

One could call this a circle corruption and in a way it is. Yet the forces that arise are not corrupting, for dissertation structure they attempt to close the circle and .. (think free energy). The making of a circle is also about taking a step from 1D to 2D. There, you will find the 22 meaning, friendly transcendental number Pi. To round it off, you may want to learn more about the squaring of a circle, for it is about the straight and curving geometries. We did not forget the ancient Egyptians and use the hero journey archetype, example of the five pointed star as one of the steps in working the catch 22 meaning, circle and the square. The golden proportion and Pi get very close to each other. The five pointed star is made from the golden proportion and then the texas v. johnson (1989), squaring of 22 meaning, a circle and the five pointed star are closely related. Not everybody likes geometry. In case you don't, you can blame your teacher or _______, but in the not-so-final analysis it is about you.

Geometry is about movement and placement in space, from an atom in your body to your ship as a whole. Lots of War Is, geometry is in a plane and you have a good argument if you say your head is not flat. So let me cut to the chase. The intelligence is in 3D and your head is just fine for that provided you are able to intercept it. Lots of 22 meaning, free energy is in 2D and it can be harnessed there once you figure out how to The Pequot Hard Essay relate 3D to 2D. Oh, to relate 1D to 2D you'll get into the squaring of a circle, which is catch 22 meaning, something you want to do if you'd like to make atoms. (Light is in 1D and energy of an atomic electron cannot be in 1D #151; it would leave the atom.) The linear movement is in 1D while the atom and hero archetype, gravitation need 0D for catch spin. Your challenge, desire, need, or necessity is to understand and work the Pythagorean tetra(ctys) of 0D through 3D because that is how the universe is birmingham, built and catch, you want to continue to be a nifty and texas v. johnson (1989), smart participant in it. Symmetry in a five pointed star.

Symmetry has appeal. It makes things look nice but it could be difficult to move beyond that. Catch 22 Meaning? There are similarities with reflections in a mirror #151; or refractions through a focus of a lens. You might love crystals but it is Outcomes Use Essay, tough to explain what symmetry brings to the table. Aristotle could not apply numbers beyond counting and it was then easier for him to stick to generalities ('nature abhors a vacuum,' 'prime mover') and even poke fun at Pythagoreans. There are two kinds of symmetries : even and odd. The even symmetry duplicates things about the catch 22 meaning, (usually vertical) axis while the odd symmetry duplicates things by half-circle rotation about demonstrations, a point at the origin, which is the center of the circle used to make the star.

Symmetries issue from geometry (and geometry issues from numbers). 22 Meaning? The even (or axial) symmetry is unique to energy and includes intelligence. Esoterically it is the head of the Sphinx while the empty space between the Sphinx' front paws is the (virtual) line of the axis of the even symmetry. The odd (or point) symmetry is unique to charge and matter. The even symmetry is inclusive while the odd symmetry is exclusive. Self-test:-) If you think erecting a physical object between the Sphinx front paws is corruptive, you are doing well. A five pointed star, point up or down, has even symmetry but no odd symmetry. Positive Outcomes Uniform Use Essay? You could also have heard of 'rotational' symmetry. When a five pointed star rotates one fifth of 22 meaning, a circle, it overlaps exactly with the original star. You want to differentiate the rotational symmetry from the even and odd symmetries.

Rotational symmetry is applicable in the rotationally-moving context and indeed there are plenty of situations for that. I like to call the even and odd symmetries the placement symmetries while the rotational symmetry is texas v. johnson, one of the catch 22 meaning, movement symmetries. Placement is for building things (this includes the atom) while the movement is not only for physical movement but also for transformations. Mainstream physicists use the term 'symmetry breaking' when dealing with the ocurrence of different symmetries. They (the scientists) assume everything should be in 3D and anything else is a form of deviation (breaking) from that. This is very stupid. The fundamental thing to look for is computability. If the system is computable, it will happen.

The system will then exist in several and in any and all symmetries, as long as it is computable. But of course, the computability conditions are spelled out and explained in the Quantum Pythagoreans book. This talk about symmetries becomes introductory once you begin to appreciate that the (law of the) conservation of energy is Outcomes Uniform Use Essay, based on catch the conservation of symmetries. The conservation of geometric symmetries is then a more fundamental law. The Pequot Hard To Forget Essay? There is a bit on this in the Quantum Pythagoreans book but then it is extended even more in the upcoming Stars and Rings book. What? Who needs cables? Five pointed star in a circle. There are three sources #150; and therefore more than one meaning #150; of the five pointed star. One meaning has its origin in catch 22 meaning, the exact (geometric) division of a circle and is discussed on demonstrations this page.

It is a fairly complex though rewarding topic that leads to catch the symbolism of a star issuing from a single circle. Outcomes Of School Uniform Use Essay? Another root comes from two orbits (hence two concentric circles/rings) of Venus and Earth, and catch, is discussed and traced there . (Venus, while most prominent through the five pointed star, is also associated with the birmingham demonstrations, number eight and the meaning of the diagonal.) The third source of the five pointed star calls on non-concentric yet interlocking rings . The separation of the circles is in the golden proportion and this new five pointed and unique hyperstar construction has its own bookmark on catch 22 meaning the golden proportion page. This brings us to dissertation structure the diff between the sign/drawing of a pentagram and a pentacle . A pentagram is a five pointed star drawn with five straight and unbroken lines, aka the Pythagorean pentalpha. A penta cle has a cir cle (s) around the star. Yet, these are but technical differences.

There are three separate origins associated with a pentagram and you may want to catch show a pentacle to point out the root. In other words, a pentagram always issues from orbits/orbitals/circles/rings/rotation and there are three separate ways to do so, as follows: 1 ) A single circle around the star makes it the dissertation structure, classical or atomic pentacle that comes from atomic construction, and a single circle shows the standing wave around the nucleus -- the orbitals. Pagan-wise the classical pentacle stands for earth and if you think of it as 'materia' (from Latin), it's a close match to catch 22 meaning 'atomic.' 2 ) Two concentric circles around the star make it the cosmic or planetary pentacle and the two circles are the orbits of Venus and Earth (can be computed via modulo math from the clockwise 8:5 orbit ratio and in the illustration on left the orbits are to masters dissertation scale). Points are between and close to the midpoint of the two orbits and the pentagram rotates (why that is so is on the Venus page). For Pagans, the 22 meaning, double circle around the star is about 'drawing down the birmingham, Goddess,' and the circle diameters are calculated along with point sequencing on the Venus page. If you speak of catch 22 meaning, or draw a planetary pentagram , then you are substituting the two concentric circles with Venus and masters, Earth symbols because you know there are several pentagram sources.

3 ) Separated but interlocked circles (rings) with centers at the hips of the pentagram show two separate atoms joined in a molecule, which I call the hyperstar pentacle . Catch? This is new and I don't presently know of anybody applying the hyperstar pentacle. Although I think the hyperstar explains the atomic separation in archetype, a molecule, there are many, many meanings and applications. My feel is associating the hyperstar with friendship, marriage and angels. I like using it in Tai Chi and here is an example. Catch? A classical pentacle can be rotated/turned about the circle's center if someone wants to between Art and do an upside down 5 point star. Catch? With the hyperstar, however, I flip the pentacle about the hips and then a completely new 10 point hyperstar happens -- a star with nothing but the golden triangles. See below. [Flipping something about an axis is a feminine operation.] The abundance of the golden proportions associated with all penta. constructions deserves an analysis of its own. Whether it leads to harmonizing your environment and Relationship Art and Culture Essay, having good luck, building a pyramid, or even growing it into nature based religions the likes of Wicca or Shinto, the golden proportions are indeed linked to space borne intelligent energies.

Once the circular geometries are engaged you'll end up with the catch 22 meaning, pentagram. It is then okay to draw just the pentagram but you want to draw the various pentacles if you want to (1989) show where the pentagram is coming from. For example, ancient Egyptians call the pentagon 'The Womb' and catch, if you retain the circles on the hyperstar you just might see it. Okay guys, another story has Isis looking for Osiris' parts. She found all except the phallus, which was eaten by a fish. Outcomes Of School Use Essay? Strange story. Well, if you retain the circles you just might see a fish doing its thing. [So, is the hyperstar a lost ancient Egyptian star or is it THE Star, the most secret one? I haven't seen it in their art but their stories sure seem to point at 22 meaning such possibilities.

Self-test:) If you take the fish story personally and of School, say ouch, for example, you are missing the alchemical dimension.] Pythagorean pentagram/pentacle symbolism is a bit different and possibly more sophisticated if you think in the square-a-circle context. The pentagram is encircled once and catch, then a second ring is added as a piece of structure, jewelry. 22 Meaning? The second ring is then at hero journey archetype the right angle to the first. Catch 22 Meaning? (The illustration is from Secret Teaching by Manly Hall.) Regarding the demonstrations, Satanic or (d)evil or demon side of the upside down (inverted) pentagram or pentacle, consider it a feeble attempt at catch 22 meaning corruption by the self-proclaimed sign-of-the-beast creator and almost-priest Levi. You want to between Mechanical Essay know where corruption comes from and 22 meaning, then you are in Relationship Art and, position to overcome it. In this case the upside down pentagram could issue from natural rotation of the Earth-Venus cosmic/planetary pentacle in the solar plane -- with the sun in catch 22 meaning, the center -- and then the satanic notion loses its meaning once you appreciate that the cosmic pentacle's rotation does not stop and there is no 'up' and 'down' of the solar plane to begin with, just as you cannot tell if the whole coin on the right having odd (point, sun) symmetry is up or down. (Under odd symmetry every point has a second point on the other side of the center of rotation.) If you want to Outcomes unambiguously show the star's point-up or point-down placement on a coin, you have to place the star next to a non-symmetrical reference such as an animal (or introduce the even/mirror symmetry, which is the case in nature). Catch 22 Meaning? The coin's design is odd-symmetrical, but if the lower half is erased then odd symmetry is gone.

It is then easy to see that the hero, star placement becomes point-up because 'Republic' now provides up-down reference. So you can appreciate that up side down is not a given under odd symmetry alone because when your reference is but a point (such as the Sun in the center), you could see the star one way looking from the catch, center and birmingham demonstrations, the opposite way looking into the center. Moreover, cw and ccw rotation can be differentiated -- think mirror symmetry and angular momentum in 3D, which also means that 'above' aka heads and 'below' aka tails can be diffed absolutely under rotation. 22 Meaning? Geometric stars' origin is from orbits (macro) or orbitals (micro). Micro includes both the atomic and/or molecular (valence) orbitals. This means that the dissertation structure, stars issue from odd [masculine] symmetry. Yet, to 22 meaning get unambiguous and stable solutions, both the odd and even [feminine] symmetries are needed. Ancient Egyptians include a horizontal bar with their oval cartouche just for that reason, and the bar -- which is the demonstrations, axis of the even symmetry [it is not the horizon] -- is very explicitly tied to the oval.

Now, I am extending it past the Pharaohs' cartouche, and there are more practical and new examples in the 5 and 10 point hyperstars below and, of course, the 22 meaning, Golden Eye. When it comes to the androgynous nature of the beast (Levi's beast has feminine and masculine attributes as well as a point-down pentacle on its forehead), consider that masculine-feminine cannot be merged because they each issue from different and unique symmetries. Masculine-feminine is about the duality that cannot be unified by merging but needs to be, and structure, can be, balanced or married. (Achieving such balance is not trivial but there is more than one solution.) In essence, the evil side arises from conflicts that ignore nature's duality, and one of the gateways to its understanding is to ask, 'Why and how is the human brain separated and catch, joined at the corpus callosum?' Focusing on construction of the masters structure, visible universe, the gateway to balancing is through Quantum Mechanics. Oh, if you don't like the status quo get into catch 22 meaning, vortex and free energy. Overlaying two opposing hyperstar pentacles , the up-and-down points from the two pentacles make a ten-pointed hyperstar, which is not a decagon nor a hexagon, either regular or not -- yep, not concave and not convex -- and The Pequot Hard Essay, definitely not for 22 meaning the Wiki trivia chasers.

This hyperstar (on right) has a north-south axis with very unusual properties. The axis can become absolute under spin and then the star symbolically acquires a touch of Tartaros (or Tartarus) -- but, as a Pythagorean you know what the axial post/pole is about. I like seeing the hyperstar as 'the seed of the thunderbolt,' but that's shade romantic. Outcomes Use Essay? Did you notice all triangles on the hyperstar are golden? In the case of the classical pentacle, the catch, upside down notion also has no meaning because the five-fold atomic orbital is symmetrical about the atomic core and is free to rotate without appreciable symbolism. (However, there do exist harmonious and disharmonious stars and in the book Quantum Pythagoreans you will learn which is Positive Outcomes, which and why.) A human body has a close resemblance to a five pointed star.

Indeed, Tai Chi makes a mere resemblance into a remarkable art, including the Martial art. The upside down star is not conventional (not normal) once you link a human body to the five pointed star. There is then a human mental aspect to an inverted star and the Venus page has a bookmark on that. However, if you place energy importance first (and you should) then the upside down aspect is about energy while the upside down body is a mental and catch, positive construct in the service and manipulation of energy. How do you make your own pentacle or pentagram? Buy or make is okay but to have your own you have to have it in your mind. And add a cw pentagon, too. [Feeling better?] Here is also a secret for the 21st century: You must know how to Positive Outcomes Use Essay make the star geometrically and catch 22 meaning, then -- by making the same body movements -- you will also attract beneficial (golden proportion) energies in the circular geometry that will stay with you. Oh, if you start doing Tai Chi, you'll see the geometric components very soon. If you wish to superimpose/overlay/map a human body onto a five pointed star , the five points of the Outcomes of School Use Essay, inside pentagon are the catch, major reference points.

The top two points are at the shoulder-neck transitions, just as you'd guess. The lower two side points are the birmingham, hips while the lowest point is the crotch. If you do Tai Chi/Yoga exercises just a little, you will feel the importance of these points. As much as I find occult interesting, the occult human body-onto-star overlay seems forced and this leads me to suspect the occultists do not exercise much. As you get more into 22 meaning, mind-body-circle-star- energy interlocks, you'll jump or sail right into alchemy . Structure? You cannot power into alchemy but you can turn alchemy (Tai Chi or ancient Egyptian versions) into personal power, both logical and physical. There is the Buddhist view, too. Ever seen an angel? The book you will thoroughly enjoy.

Harmony is talked about 22 meaning, ever since antiquity but it is journey, this book that actually allows you to predict whether any two tones will be harmonious. Yes, the clockwise or counterclocwise rotation can be determined and 22 meaning, that is the one (of the two) harmony components that was hidden until now. It is v. johnson (1989), about the perfection of geometric stars and catch 22 meaning, the waves that go with it. The radius measure of 2 (diameter of 4) in our pentagonal construction on War Is to Forget the left is the outcome of using the shortest applied distance as the unit 1 . This is not because you couldn't divide by two (you can -- and work with ? as the distance OA , for catch 22 meaning example), but if you construct other structures such as the the Great Pyramid with the shortest distance as the unit 1 , you will always be in sync with your numbers from one structure to Mechanical Reproduction, Art and Culture the next. If you want to look at it metaphysically, each number has its own personality and you want to keep track. If you want to have more fun, think of the unit distance OA as an irrational number. Catch? Even Euclid did not think of the number 1 as just a counting number. On the political side, particularly in birmingham demonstrations, the association with Communist power , you want to be cognizant that the five pointed star issues from orbits and the star is 22 meaning, always a 2D entity made from 1D constructs.

Making the star into a 3D star (the likes of the Kremlin) points to the lack of understanding on the root of the star's creation. Positive Of School? The purpose and utility of the five pointed star could also be said to be misunderstood by the Communists, not unlike the swastika adoption by the Nazis. [If the Nazi technology was as advanced in the flying saucer technology as is rumored then the 22 meaning, swastika would not be far off.] For the time being I'm not doing full 2D (area) or 3D red stars until the bloody aspects dissipate -- oh, about a hundred years, considering China. Hero? These stars are fancies anyway. Actually, Darwin started the whole mess with his 'strongest survive' evolution simplification, and it was the 22 meaning, opportunism of Communists and Fascists who took in the reduction and used it literally. (There were alternatives available at Reproduction, Art and Culture Darwin's time but Mendel was pushed aside for catch 22 meaning the critical 15 years and at Mendel's rediscovery the industrial revolution was in full swing. Relationship Mechanical Reproduction, Art And Culture? Book review: The Monk in The Garden .) What to look for.

People bent on power will promote and support the following: 1. Catch 22 Meaning? Nature is on our side. Best represented by Dawkins' The Selfish Gene , the idea is that being loaded with money is natural (you guessed it, it's Gates' favorite). Demonstrations? A virus is selfish, a gene is not. 22 Meaning? In the UK the Oxford U nicely masks its ignorance with arrogance. In the between Art and Culture, US the catch, Harvard U is big on this kind of spin [they put out the best crap]. You will recall the dinosaurs and the dino eats dino times [I don't think they died out Relationship between Reproduction, Art and Culture Essay without a fight]. 2. Running out of energy. Usually about (peak) oil, this mentality replaced Running out of food from the last century.

This allows wars to go on, as it conjures up there is not enough for both of us. Catch? This is but one example of reductionism. Of School? [If you don't see God, there are plenty of bosses to work under #150; here and on 22 meaning the other side.] The beauty of birmingham, free energy is that it is really about catch, smarts and without a large up front investment. Once you do a bit of The Pequot to Forget, reading, you will be LOL at the experts, but you'll also have to do the free energy yourself. If you complain that the govt does not release free energy, you are not getting it. 3. Socialized medicine. The mind job here is to catch 22 meaning convince you that you need the institutions of state and selected private hospitals and clinics for you to stay healthy but there is an obligation to pay extra premiums. It ends up that the healthier you are the masters dissertation, more you pay and this becomes a tax on your health. Because you are smart and stay healthy by paying attention to your body's needs, you are pressured to pay for the ones who are not, and the power chasers are a sick lot. 22 Meaning? You may have to move to another state and/or become politically active (for example, AMA should not have a monopoly). You really begin to understand this when you start looking forward to stopping the payments of your premiums. Positive Of School? You may find out it is the catch 22 meaning, best thing for actually being healthy.

There are three components : understand fear, pick up specialized exercise, and keep up with alternate immunity discoveries (such as Dr. Jan Raa's) as well as the revival of Raymond Rife technology. Once you understand the fear component, talk openly about the health alternatives should you meet an birmingham demonstrations AMA doctor, for the tables might have turned. 4. 22 Meaning? Culture or religion-embedded values of guilt, fear, and The Pequot Hard Essay, intolerance. Once embedded they can be invoked without explanation (prejudice will not be seen for what it is). This is usually about Bible and catch, Koran waiving and could be difficult to deal with outside the US.

In some cases the texas (1989), fear and/or weakness and/or ignorance justifies betrayal [needs to be watched, even self-watched]. Betrayal is also a component of power, and catch, power has its own category (power is reversed in the virtual domain and there it is not based on specific might but on infinity). In the structure, Pythagorean and Buddhist traditions the catch 22 meaning, friendship works well. I also like Ronald Reagan's attitude because he 'liked all and feared none.' You might get hurt but you will have the last word. So you think you know your numbers and might think it's okay to reduce them to your liking. Reproduction, Art And Essay? But if you construct the Great Pyramid with the golden numbers and use the 22 meaning, shortest distance as the unit 1 , you will arrive at the pyramid's base as having the side length of 4 . The base of the Great Pyramid is (1989), then 4 times of some unit of measure. So now the pyramid's base periphery (4+4+4+4) and base area (4x4) carry the same square number 16 . You see, if you reduce the numbers and think of the 22 meaning, pyramid's base as having the unit length of, say, two, the base periphery would have eight units of length but the masters structure, base area would be but four (square) units. If you do not reduce the numbers you can think of the number 16 in the context of acceleration (unit of measure per time squared) and derive the unit of 22 meaning, length that is demonstrations, most appropriate for this planet [yeah, it's a foot].

Rational numbers are commensurable numbers -- that is, they all have finite or repeating sub-unity part of catch, a number (mantissa) and Essay, all can be expressed as a ratio of two integers. Rational numbers can also be called the exact, finite, or absolute numbers because we can write them down and agree on their value. At times, rational numbers are called real numbers because all real things have a finite measure. Rational numbers happen when we ratio two integers. All mainstream mathematicians define the catch, rational number as the Outcomes, ratio of any two integers. So, a mainstream math guy would say, Of course the rational number is 22 meaning, a ratio of two integers -- it is defined that way. V. Johnson? Yet, you really do not want to be mainstream and acquire but an 22 meaning encyclopedia knowledge of the world. You do not want to think of somebody's definition as complete or adequate knowledge. You know that a rational number is a finite number (has a finite or repeating mantissa) and once it is finite it can be expressed as a fraction of two integers. As a smart person, moreover, you know that if another operation produces a naturally finite number then such operation also creates a rational number.

The circumference of a circle is a transcendental number. Many of circle's round segments (arches) are transcendental numbers and their straight cord could be an irrational number -- and both of these numbers have an infinite mantissa (infinite precision). Outcomes Uniform Use Essay? The question now is: If you divide (ratio) some particular circular segment by its corresponding cord, will you get a finite (rational) number as a result? Some Pythagoreans view the number two as a problem number because it divides the unity. Pythagoreans discourage division of the unit 1 until you understand the context of catch, each degree of freedom -- but in any case the number 2 is not the culprit. (The number 2 is in hero journey archetype, the denominator of the golden ratio and there it should stay as the number 2.) As you get familiar with this site the 22 meaning, sub-unity will become applicable to atomic orbitals and hence the number 1 is the Great Divide between the Relationship Mechanical Reproduction, Culture, macro-cosmic and micro-atomic. [My guess is that macro concepts are taught before the micro in catch, the Pythagorean School.] Tetractys of Pythagoras deals with the organization of matter, among other things. What makes you a Pythagorean? Short of visiting the Pythagorean page, you are interested in the actual construction of the visible universe. Outcomes Use Essay? As a Pythagorean you want to know why some stars are constructible exactly and muse at the people who draw stars without regard to their actualization.

Drawing stars just for fun is okay but to a Pythagorean that's in 22 meaning, an entertainment category. The. compilations about stars are trivia, which quickly become distracting as well. Art And? Working the five pointed star is a wonderful start, for catch this star is War Is to Forget Essay, geometrically, that is catch, exactly, constructible. Constructing the texas v. johnson (1989), real universe is, moreover, the greatest show there is. Construction and deconstruction of atoms are similar endeavors -- and you have no need for a hammer to construct or deconstruct something. The forces therein can add up in controlled fashion, too. There are dozens of philosophers and gurus talking about the omniscient nonlocal instant infinity of the catch, conscious universe, but to a Pythagorean this is but one half of the show : You still have to put all that knowledge to work. Yes, we have pictures. The upside down star has no negative meaning in the micro domain.

There are in fact several stars nested inside the larger stars because there are many orbit jump opportunities with each pair of orbitals. Yes again, ALL triangles are golden. Oftentimes we think of star patterns only when tiling in 2D or building the Platonic solids (in 3D). But the patterns we encounter in the micro are usually made with overlapping stars and that makes nifty art shapes as well. The overlap comes from the journey, inclusiveness of waves. On July 17, 1991 at Barbury Castle there appeared a crop circle named the Tetrahedron (a triangular pyramid). For its 20th anniversary we have a summary-update. Here is a poster for 22 meaning a Graphics show I had in Relationship between Essay, Prague (where I teach now) in February 2013. Large-print format is becoming affordable. With a careful equipment selection, one can avail to a high quality original poster that is not only less than the price of a reproduction, but is good for your health as well. Just about ready (second picture).

Consider the existence of the even and odd symmetries as the point of departure between the Pythagorean and Aristotelian physics. Pythagoreans continue basing new concepts on numbers and catch, then the demonstrations, even aka twofold symmetry issues from and relates to the number two (and the feminine). Aristotle refers to the Pythagoreans and flatly claims in Metaphysics that 'two' and 'twofold' are not the same and that 'twofold does not subsist in the two.' (Of course) the two and twofold are not the same but the number two spawns the even symmetry as two-points-make-axis construct and catch, then the number two is not just a counting number. If Aristotle rejects the Pythagorean 'number two is behind even symmetry,' does he propose something better or different? It does not seem so, and Outcomes of School Uniform Use Essay, this could be a nice example of ancient Greek debunking. Catch? Aristotle does not like it, and that's okay, but without offering his own reasons for Outcomes Uniform the existence of 22 meaning, symmetries he will not be able to advance it. Sure enough, we don't hear from Aristotle on symmetries. Some star constructions speak of fixed length sticks, which at first glance can construct any size polygons. Here is where the executability of masters dissertation structure, angles comes up. In space, the irrational angle is constructible only catch 22 meaning, approximately and only some angles will be actualized #150; think snowflake formation. Also, we can calculate the points of a polygon along a circle but using sticks that have finite (rational) and equal lengths for the cords will not always fit in War Is Hard to Forget, such points.

In fact, a not-so-difficult case can be made that geometry takes precedence (has priority) over arithmetic. [If you are a scientist, you may think of catch, Emmy Noether who ignored the nature's beauty of to Forget Essay, snowflakes and made simplifying assumptions about space that proved the 'ignorance is bliss' postulate #150; for in her world everything is reduced and snowflakes and crystals don't exist.] You can calculate the area of any polygon by taking the area of the triangle and multiplying by catch, the number of sides. When working the area of a circle or a polygon, the War Is to Forget, center point is 22 meaning, (becomes) excluded . (If you are metaphysically inclined, think Isis looking for all parts.) In your Pythagorean mind, you need to link the area to its physics application. For example, a physical property that is proportional to Outcomes of School Uniform radius squared is then also proportional to the area, which gives merit to area calculations. This is bigger than it seems. You are not just sweating your teacher's assignments -- you are actually working the physics entities if you know what they are. This one comes from Yosifusa Hirano of 19th Century Japan. It is elegant and also constructs the pentagon or pentacle on radius 2. All pentagram angles are a rithmetically divisible by nine. So, what's the big deal if the number 360 (degrees in a circle) is no big deal? If you line up all angles from the pentagram : 36, 72, 108, 144, etc. and sum their individual digits you will always get 9. That may seem like magic, but once you appreciate that the number 360 is arbitrary, you don't need to ooh and catch, ahh about it.

If the number of birmingham demonstrations, degrees in catch, a circle were 320 or 260 or 364 the v. johnson, summing magic would not happen for 9. The circumference of a circle is catch 22 meaning, 2Pi and putting in a number to stand for degrees is purely a practical consideration. In the case of dissertation, 360, this number is 4x9x10 and now, because the angles of a pentagram are in tenths of a circle, the number that is catch 22 meaning, left is The Pequot War Is Essay, a multiple of 9 (and 4) and so it will be always divisible by catch, 9 (or 4). All numbers divisible by 9 have their digits sum up to 9 (modulo 9 #151; thank you, Gauss ). So, always work with fractions of a circle (or fractions of 2Pi) even if the numerical sub-unity pushes your right brain into infinities. There is plenty of hero journey, real magic left in this subject, particularly if you get into the squaring of a circle. We have a collection of catch 22 meaning, cool and hot designs inspired by the five-point star. View select designs -- or visit our store at Zazzle ( . Hero? com/Mike_Geo) and 22 meaning, see how well you could look in a tee, hoodie, long sleeve shirt, or a polo. If you have new ideas you want to Relationship Mechanical Reproduction, Culture explore designs from the constructs of nature. All our designs come from 22 meaning, nature and center on the golden proportion. Design on right is called the Adventure of The Red Sun.

A pentagon and the Great Pyramid are related, but it hadn't been easy to show both of them relating through the golden proportion. I construct them together using the new Golden Eye method in Positive, the Quantum Pythagoreans book and now the construction is available in color for your shirt or Tshirt as well -- in the Golden Eye design. The golden proportion is between the pyramid side and the half-base. The Great Pyramid is shown in 22 meaning, a vertical cut through the mid-face. Essay? Much detail is on the golden numbers page. The five pointed stars attract energies on account of the catch, golden proportions. Because under rotation the five fold symmetry can be either harmonious or disharmonious, you want to know which is which (ccw is harmonious on birmingham demonstrations a pentagram, cw is harmonious on a pentagon) because you really cannot hide under a rock and hope for the best. Catch? Some people rely on intuition and some want to hero journey archetype understand things a bit first. Either way, I wish this site and the book will do it for 22 meaning you. Two pentagons make a decagon, a regular ten pointed star.

A regular pentagon made with the Hirano method can be used to easily make a regular decagon #151; an exact ten-point star. A pentagon that is made by the exact division of a single circle can be duplicated 180 degrees out-of-phase (upside down) and decagon results from two pentagons. One pentagon is thus rotated about the (1989), center of the circle or, if you prefer, rotated/flipped about the catch 22 meaning, horizontal axis. However, a regular ten pointed star that is a regular decagon is not a hyperstar. (Hyperstar is demonstrations, discussed in the right column.) While both stars are created from two regular five pointed stars, a decagon is always convex. A hyperstar has some straight segments spanning three points. A decagon has its points on a single circle. A hyperstar has 8 of its 10 points on two identical circles separated by the golden ratio parameters. [I think the mathematical discoveries of catch, construction ratios is what Plato refers to as 'Logistics,' which is thought to be a lost Pythagorean knowledge.

In the case of v. johnson, a pentagon Diameter priority the 22 meaning, ratio is with square numbers (1:4) because we go from 1D (unit length) to 2D (circle). Birmingham? The same ratio of 1:4 holds for the pyramidal construction because one unit of length ends up as four area units of a pyramid base. For a pentagon point-to-point Length priority, however, the ratio is 1:2 because one length becomes another length (1D to 1D) but the construction now must include rotation . In general, there is a rotational aspect in the Pythagorean Theorem even though the arithmetic of the Theorem does not capture it (it uses squares). Logically, any line (any 1D distance) inherently contains a direction and when staying in 1D a change in direction amounts to rotation. Squares (area, 2D) do not contain a static direction but they have something else.] Every time you double something #150; think octave. Every time you halve something #150; think node (or fit) for standing waves. Every time you rotate by 45 degrees #150; think transformation. Every time you rotate by a right angle #150; think.. The funny thing is catch, this works for Tai Chi when your body, your arms, and your legs are doing the movements. Geometry and movement is about your health too.

Harmonious ten pointed star. The star below, if drawn counterclockwise, is classified as a (10+ 7 )/10 star using my method that is (x+y)/x in general y is between 1 and x #151; that is, xy=1 . The decagram star looks nice #151; it is unicursal, is regular during construction (advances by the same angle), has parallel sides and v. johnson, is harmonious. This star skips every six points and is the only harmonious ten pointed star in the macro. (Decagon and all other ten-point stars are not harmonious, cw or ccw.) The Pythagorean style rationing (really proportioning) method (x+y)/x as well as the catch 22 meaning, corresponding musical harmony or disharmony is hero archetype, explained in the book, and you'll know why the proportioning approach presented here is much more useful than what the catch, mainstream puts out. Positive Outcomes Of School Uniform? You noted x and y are integers but if x and y are the 22 meaning, golden numbers then (x+y) : x is the golden proportion #151; and enter both the masters structure, micro and the macro. (Rationing is not commutative because A/B is catch 22 meaning, not B/A. Proportioning, however, is commutative because A : B is the Positive Outcomes of School Uniform, same as B : A, and playing two musical notes has the same effect whether you analyze at it as A : B or B : A. Sometimes I think mainstream math is catch, pathetic, for ignoring waves is the norm.) There exists symmetry about one point called the point symmetry (or odd or radial or rotational symmetry) [masculine]. There also exists symmetry about Essay, two points called the even symmetry (or axial or twofold or mirror line symmetry) [feminine] #151; the two points making an axis by which the original image rotates.

These two kinds of symmetries are all-pervasive in atomic construction where they are called the odd and even wavefunctions. Catch 22 Meaning? Yes, everything is coming up numbers. Now, how would you marry these two symmetries? You might have noticed that in the five-fold division of a circle the three points made by a compass' pin are at the corners of a right angle triangle having sides 1 and 2 . (A pin of a compass centers the radial symmetry [masculine].) It is texas v. johnson, no coincidence that the Great Pyramid's Grand Gallery has the vertical height (rise) of 1 and the horizontal length of 2 while the Trough is the hypotenuse spanning the distance of SQRT (5) . (This also establishes the unit length 1 of this pyramid.) Is it a coincidence that to define Pi we need distances 1 and 2 ? Is it a coincidence that to construct the golden numbers we start with a right angle triangle with sides 1 and 2 ? There is more to 5. It is 22 meaning, very easy to get excited about the number 5 and begin to associate each of the five points with other things.

This is a Pythagorean site and we love the number five but Pythagoreans also know that using numbers for counting is introductory to the power of numbers while correspondences are about the elemental #151; that is differentiating, power of numbers. The five discrete elements in Wicca and Tao are fine, yet the visual-geometric imagery based on to Forget the Penta. is about the infinity (irrationality) of the catch, golden proportions stemming from the square root of five . With the hero journey, golden numbers you construct many shapes that extend the Penta. beyond counting. The images are also more than pretty pictures, for the waves in space readily interact with such shapes in a computing relationship and catch 22 meaning, things happen. You do not need to get esoteric to journey archetype appreciate that energies have preferences for geometric shapes and 22 meaning, the golden proportions have a unique predisposition to the operation of the reciprocal . (Yes, energies make things grow but also think about the nature's way of structure, actually capturing the waves' energies.) So it is nice to recognize the golden shapes around you even though neither the star or the catch, number five jump out at you. (1989)? The meaning could be shifted by another application but now it is not hidden. [There are also large corrupting influences in place just to keep you astray.] What if the Queen's Chamber in the Great Pyramid has its spatial distances in the golden proportion? What if the spiral on the Eye of Horus were made through the golden rectangle or a golden triangle? How can you visualize the catch 22 meaning, golden ratio in financial terms?

Throughout the Hyperflight site I like to make fun of masters dissertation structure, mainstream science. These folks lower our understanding and catch, appreciation of nature and their favorite first step is that 'this or that cannot be done or found out.' The best modern example is Einstein and I don't know of any of his concepts that are correct: This includes the special and general relativity theories (stemming from his inability to determine absolute motion/rest); photonic work function (a photon puts no pressure on a mirror); Brownian motion (molecules vibrate in place); and masters structure, energy-matter mechanics (not reversible, i.e., nova or supernova). Errors of 22 meaning, omission and commission are also applied to corrupt the reality around us. Journey? The basic difficulty is that science popularizers use the right math but apply it to wrong concepts. 22 Meaning? It may take a while to get to the bottom of this and birmingham, what really helps is that equations cannot make wrong concepts right, and therefore are suspect. On this page I said that 'up' and 'down' cannot be distinguished in the solar system under odd symmetry alone. Everything works and catch 22 meaning, continues to grow, evolve, and can also be created whole in a particular context. It is then the context that needs to be understood in addition to any some such conclusion. The 'up' and 'down' manner of speaking is relevant when the Relationship Mechanical Art and, context has a line : things above the line are 'up' (above) and below the line are 'down' (below).

However, orbits and orbitals and spin in general have a point as its construct of rotational/spinning existence and it is then appropriate to say that when dealing with point symmetry there is no fixed 'up' or 'down' because there intrinsically is catch, no (fixed) line. The point is that if you understand the context you will understand whether someone's pronouncements are true, not true, or corruptive. For example, ignoring 0D (a point) as the fourth dimension of Positive, freedom -- which provides a movement construct just as 1D, 2D, and catch, 3D do -- is corruptive because it does not recognize the spin/orbit that accounts for 99% of the moving energy found in the universe. There are several ways of getting to the truth, too. Geometry is one.

Tarot works nicely and in War Is, this case it's The Wheel of 22 meaning, Fortune card. Tarot has four suits, which stand for .. (your brainwork). You will then be in position to either speak out and/or just do what you know is better : Free energy, Martial arts, spiritual medicine, telepathy/RV, superluminal travel, atom/matter creation -- all, not coincidentally, based on ether scientists deny. Hero Journey Archetype? Speaking out means that you have enough info based on merit and then your statements become less political. For example, I'd get a Tarot card deck without the Hebrew letters, for these lack symmetries and catch 22 meaning, could be disruptive. (If you know the Hebrew letters were added to Tarot later on, you'll also know it is about corruption.) As you learn how things really work the misconceptions will release and birmingham, you become healthier. After reading a book on the history of the Chinese philosophy that weaves through the Confucian, Taoist, and Buddhist pursuits over 2300 years there, it seems the Chinese never got to the understanding, and then the differentiation, of the symmetries. Yet I would not relax too much after this. There are the philosophical and religious versions of Taoism and if you stay with the academia's version of philosophy you'll learn next to nothing. 22 Meaning? Once you get to the religious side you will read a lot about circles and spirits and demons, about keeping centered (weighed) in a point and having light crystallized -- but all this is pure alchemy and Positive Outcomes of School Uniform Use Essay, it takes some dedication for the ideas to work their way through (just as you would do with the ancient Egyptians). 22 Meaning? While the Chinese did not push the three philosophies/religions into the objective realm we call science, the Chinese pursuit in the improvement of the individual's mind-body yielded Tai Chi with most significant implications -- and birmingham demonstrations, leaving a formidable gap for the West.

Wang Fuzhi (b. Catch? 1619) gets very close, giving Chi (Qi, Ether) the female-male aspects of v. johnson (1989), Yin-Yang (ancient Egyptian Tefnut-Shu) and then nicely extends this to coexisting energy-matter duality along with a dynamic balance of the two. 22 Meaning? Wang Fuzhi is describing a free electron all right but then its detection and use happens in a body (yes, yours) rather than in an external and birmingham demonstrations, objective instrument. (Damn the self-serving Emperor/one-party systems and invest in yourself, literally?) Wang Fuzhi, or anyone after him, does not advance Li (order/construct/distance/1D) to geometry or symmetries, and this also means the 22 meaning, Pythagorean tradition did not make it to hero journey China (until recently perhaps). 22 Meaning? We can then also say that the Taoist five pointed star of the elements is masters structure, indigenous to China (could've been discovered in catch, more than one place) and testifies to the universal power and utility of the five fold division of a circle. The Chinese elements correspond roughly to those of Wicca except that 'spirit' is taken as 'wood.' This seems strange but think of wood as the circles of hero, tree rings, too.

This also gives you an idea how hidden Chinese alchemy is. (Note the prominent spiritual link to the trees in the Druid tradition and catch, a very explicit tree related experience of Joan of demonstrations, Arc.) The Taoist movement starts with Lao-tzu's Te-Tao Ching of 500 BCE (or so) and Te translates as Virtue. I am happy to have named the largest chapter in the Quantum Pythagoreans book the Virtual Domain (and before reading Te-Tao). The virtual domain is about infinities and there is much to explore there -- yes, this is an catch 22 meaning understatement. (One can also destabilize in John Nash fashion. If you don't figure out you are among infinities while using real/rational methods, you may stay there forever.) If I were to talk in Lao-tzu's puzzling way, the virtual domain Te holds nothing because it has everything (and now you'd have to figure out the virtual domain Te has everything in the form of knowledge). Journey? At times Te translates as Power (and knowledge is catch 22 meaning, a close relative of power). War Is Hard To Forget Essay? Lao-tzu described Tao in the most general way. It was only later that the Tao symbol arose from that and along with the religious side of Taoism. But of course, the 22 meaning, Tao symbol is but the Chinese version of what the infinite Tao is or could be used for, including the label of 'Tao.' The virtual domain deals with knowledge that is linked by associations. The Western alchemy's condensed virtual language could speak of the philosopher/sorcerer entering the stone only to demonstrations discover there is 22 meaning, no stone. Bewildered, the philosopher breaks out of the stone and finds the stone the same as before.

He cannot break into Positive Outcomes Uniform, the stone and yet he does not have to 22 meaning break up the the stone to reenter it. The philosopher's stone can be had -- but not physically. Yikes! Here is s'more on v. johnson stability via organization. So you think you know your numbers metaphysically and feel comfy about the masculine-feminine stuff.

You might be dividing by 2 and think it feminine. Not so. Real cutting is masculine : it makes two halves of an apple, severs an interconnection of a relationship, or spatially reduces a spread out electron (QM). However, when you observe a biological cell division, don't rush to call it masculine, for it is feminine. You'll have to get into symmetries to understand this. Meanwhile, don't make the silly mistake of equating masculine with a man and feminine with a woman -- unless you want to catch 22 meaning give up on one half of your brain. Oh, and hero, think about catch 22 meaning, The One. Analytically attacking all three major pyramids at Giza as one layout can earn you a label or two, but on this site Jiri starts with a square and then looks for the golden proportion #150; and Relationship between Mechanical Reproduction, Culture, gets very, very close to the actual measurements. Ready to catch bury the Pharaohs someplace else? Some basic geometry.

From a square angle to a square. There does not appear much we can do with a square. A square is pretty, has a lot of demonstrations, symmetries, but that's about catch, it. But as we go on, things are going to get interesting once we start to make cubes. Also, as a plain square, two circles can be fitted and defined by a square: an hero journey outer circle and an inner circle. The illustration on left is taken from 22 meaning, our ether page and it actually results in geometrically determining the speed of light. A square and a circle have been engaged from The Pequot to Forget, before Pythagoras (Thales) and there are several pages on this site (here and there and here too) on catch 22 meaning circle squaring. Pythagoreans love square numbers. To Forget? In the present day vernacular, moving energy is proportional to velocity square d. Any square can be made into any number of rectangles and any rectangle can be made into an exactly same-area square via the geometric mean. Geometric mean works with all distances, including irrational distances (but you need rotation). And so any and 22 meaning, all velocities resulting from, say, gravitational acceleration or collisions or explosions, have corresponding and exact energy values.

Any square (any amount of energy) can be divided into as many squares as you want #151; and so the energy of of School Uniform Use Essay, one moving object is conserved exactly even if the object is broken up into many other objects. Here is a simple yet powerful construction that. 1) Divides any distance exactly in half; 2) Erects the catch 22 meaning, perfect right and square angle (making the Cartesian Coordinates); and. 3) Makes a true square using any circle centered at O (at the intercept of horizontal and vertical axes that are the coordinates). A square is also a four pointed star. Only straightedge and (1989), compass are needed. (Straightedge is an unmarked ruler.) Both arcs (arches) have the same radius. Distance AB can be either rational or irrational, for there are no limitations on spatial distance between two (zero-dimensional) points A and B. Drawing a line between two points is about direction (1D) and yields a perfect line, too. If you want to catch know the Art and Essay, minimum separation between points before a line could become the 22 meaning, real line, take a look at Absolute Minimum Length (it's about the infinitesimal).

If distance AB is irrational, should it be dashed? If so, why? You will note that all geometric constructions start with the creation of the Cartesian Coordinates. Once you have them, you can make any square using a compass (a circle) and then make any star from the perfect star family. A square, then, is Hard Essay, inherent in catch, all star constructions.

A square is feminine and a circle is Use Essay, masculine. Some people get into spirituality and claim a circle is feminine because it is catch, rounded. War Is? That is 22 meaning, how you can tell a beginner. Symmetries are the key here because they have very high priority -- on par with energy conservation. Ancient Egyptians, Native Americans, and Chinese have no problem here. Pythagoreans and Plato are technically fine because of symmetrical 3D solids. Hero Journey? Aristotle would not get into 22 meaning, symmetries at all (and his historical contribution ends [should've stayed and die in Baghdad]).

The Western applications of symmetries are generally weak, although, the Western alchemy is okay and at times superior (3 vs. 4). Three pointed star. Construct the perfect triangle on a circle and Relationship Culture, another triangle on a semicircle #150; in three steps. Triangle as a logical and mathematical construct.

Because three-pointed and 22 meaning, six-pointed stars are geometrically perfect they can be used, circled, as a symbol for 3 or 6 wavelengths wrapping around the Relationship between Art and Culture Essay, nucleus. 22 Meaning? However, a hexagon and hexagram reduce into a triangle under modulo math for harmonious ratios and do not manifest in orbits (macro) #151; that is, showing a six-pointed star with two circles does not reflect nature. A hexagon is also prominent in free energy work. Hexagon is full of Positive of School Uniform Use Essay, different symmetries and, for catch better or for worse, enables rapid transformations or projections. A six sided star of hexagon could be of some interest regarding energy accumulation in the micro and we included it in the numerology section on the Pythagorean page. Without a circle, a triangle symbolizes 3-state systemic (complete and never-ending) systems, each state being in one corner. Such three pointed arrangement has no metric as it is a logical, say clockwise, process. (Some systemic processes call for quaternaries #151; think ancient Egyptians.) For Pythagoreans a triangle provides bounds for the ten dots of Tetractys (a triangular numeral 10), which also becomes one facet of a tetrahedron (projection from the hero, apex [or from your eye]). The right angle triangle does have metric of the Pythagorean Theorem, which relates 1D to 2D via (ir)rational numbers (but does not solve for transcendentals). There is a very special place for the golden triangles. Two kinds of triangles apply here, depending on whether the shorter or longer distance is used for the triangle's base.

Golden triangles facilitate a perfect relationship between particular two circle's circumferences and a straight distance. Yes, this is the fundamental reason for the existence of particular atomic orbitals, which is driven by the exchange in the electron's 2D and photon's 1D energy . This is not strictly about the squaring of a circle but it is close (it's about the difference in 2D energies). Differentiate by 3. Finally, there is an aspect to the number 3 as the fundamental qualitative differentiator of nature. We are mostly familiar with the catch, dualities such as the real-virtual (Yang-Yin) or odd-even or ordered-creative but there is Hard Essay, also a lesser known differentiator by three. Yes, we say animal, mineral, vegetable and think it special, but here we are very fundamental. Pre-atomic, I'd say.

So much so the crop circles are worth studying just for that. [I would not go inside a crop circle for more than a few seconds when the circle is less than a day old #151; it is about the 3D energies.] Alchemy's sulphur, salt, and mercury gets into that as well but without geometry it's an arduous road. Catch? The Quantum Pythagoreans book explains what is at Positive Uniform each corner of the 22 meaning, Tetractys and that's what it's about. When you see a triangle with some symbol in the center (a dot, an Positive eye, dragon), take such symbol into 3D of the apex of a tetrahedron to see if it means something to you. Instructions: Draw horizontal and catch, vertical lines. The intersect is the origin O. Draw a semicircle of radius r around O . Birmingham Demonstrations? This makes point V. Draw a circle around V of 22 meaning, radius r. Now that we divided a circle into exact thirds, you can make a three pointed (Mercedes) star or a three sided star of Positive Outcomes Uniform Use Essay, a perfect triangle. In the 22 meaning, illustration the larger triangle divides the circle with three exact cords of length c for a perfect three pointed star.

The smaller (red) triangle divides the circle with six exact cords of length r resulting in between Reproduction, Essay, a perfect hexagon or hexagram. You can verify (using the catch, Pythagorean Theorem) that the relation between the cord c and cord (radius) r is: What physical entity is proportional to journey archetype r 2 ? If you know what that is, consider that the square of the cord c is three times that. A puzzle of a bad souffle: Given a square, construct a new square that is exactly one third of the original square. You can be fairly certain that the person will try to 22 meaning partition the square in some way but the solution is to erect a triangle on the square's side and then obtain the radius for the circle that covers the triangle. Radius r is the side of the new square. [In our case the bad souffle does not cave in Relationship Art and, but runs over catch, the rim.] It is not possible to reverse engineer a souffle without stepping back and understanding the relationships between the masters, ingredients and their proportions #150; as well as the irreversible nature of the baking process. Can you apply the 22 meaning, construction of the geometric mean in the solution of this puzzle? Could you use the geometric mean to texas v. johnson (1989) generalize this puzzle for all possible ratios of square areas?

If so, you would then be able to divide a square into any number of squares, including squares with irrational sides. The geometric mean equates the perimeter (or area) of any rectangle to the side (or area) of catch, a particular square. Could squares with irrational sides be included in the general division of a square into any and all other squares? If so, does it mean that geometry does one up on arithmetic once again because arithmetic cannot give you the exact irrational number for the square's side? Finally, if energy of dissertation, a moving body is proportional to its velocity square(d) , can you divide such energy square into as many smaller square energy components as you wish? (Via a collision, gravitational attraction, or some other action-at-distance?) A six sided star, a hexagon, is prominent in virus structures. Hexagons are partioned into a six-triangle grid, which serves -- through a geometric relation -- to catch 22 meaning identify almost all viruses.

This is a complex topic. For example, a virus' hexagon is rendered benign with a pentagon [my own thing]. The overall structure in 90+% of viruses is icosahedron . Although labeled 'an esthetically most pleasing shape' by some -- with 5-fold, 3-fold, and 2-fold symmetries -- all mainstream scientists ignore the morphing nature of the virus first brought forth by Rife (bio) [virus approaches under a friendly flag and morphs]. Outcomes Of School Uniform? Because the current work on viruses discloses but the stained (i.e. dead) viruses, the mainstream is catch, still way behind Rife. If you understand the corrupting mechanisms in Positive Outcomes Uniform Use Essay, the present day medicine, you will know why you do not have to join a walk for 22 meaning or against The Pequot, this or that disease. You don't have to follow, or agree with, generally published explanations but spend your money and 22 meaning, time your way -- and a better way at War Is Hard to Forget Essay that. There are several recent breakthroughs in virus' geometric construction. The geometric steps in virus' formation are : diagonal projection of a cube resulting in a hexagon; slicing-and-projecting a cube grid resulting in a hexagram (aka the Star of David); and rotating-and-zooming (as shown above, [which is the final projection onto the material plane]). I see some of 22 meaning, these elements in the crop circles and, short of Reproduction, Art and Culture Essay, taking sides, I'd like the virus construction viewpoint represented in crop circle analysis. We are dealing with a very advanced technology but it is very advanced only because the mainstream science coming from the universities is primitive and 22 meaning, corrupt.

In practical terms the twelve pointed construction is (1989), about the design of a clock's face. In astrology the twelve Signs of the Zodiac is about the twelve sided division of the Solar ecliptic. 22 Meaning? There is an even more interesting side : There are twelve computable states along the periphery at the third level of the Great (Golden) Pyramid. In the infinite superposition of the virtual variables (aka wavefunctions), there are geometrically enabled states inside the pyramid that allow a computable state to masters dissertation structure form. Yes, infinities can be worked and catch, the Quantum Pythagoreans book gets into that and at all levels of the Outcomes of School Uniform Use Essay, pyramid. Our construction for catch 22 meaning the twelve fold division of a circle also divides a circle into eight exact segments, or angles, because the 45 degree diag onals are available for free from our twelve point construction if you make full circles (and don't stop at the intersects with the Reproduction, Culture Essay, central circle). This is also true the other way: When constructing the eight point division that is catch 22 meaning, a regular octagon, the twelve fold division happens as well if the central circle is drawn in full (and you don't just mark the intersects with the cardinals). So here you have the combined 8 12 point star construction. After a short Internet search I did not find an 8 12 point star common construction . I found one logical assembly having the Chinese Zodiac on the outside circle and eight binary Paqua states on the inside circle. (This tells me divination is intended but, because of our inherent construction feature, I'd turn it around the other way : 12 sides on the inside circle and birmingham, 8 points on the outside circle.

This is counter-intuitive but there could be [is] a form of Tai Chi in this.) The common construction of the eight and 12 pointed stars starts with the combined two and three pointed stars. As you double the count the ratio stays the same : 3 to 2. (As you double the points you go up by an octave.) This is a musical ratio and a harmonious one at that. What planets subscribe to this ratio? It is not Venus-Earth but it is on the Venus page. The eight pointed star is full of symbolism associated with Venus and catch 22 meaning, the transformations via the Relationship Reproduction, Culture Essay, diagonals. The ccw octagon is 22 meaning, harmonious and made by Earth-Mars interplay, too. So enjoy the between Culture, eight-point star construction here via the cardinal and semi-cardinal directions but the catch, Venus page has a lot more on the eight fold division of a circle, including the Hunab Ku symbol. These watch face designs are inspired by the Mesoamerican Hunab Ku symbol. Instructions for Positive Outcomes of School Uniform Use Essay drawing a 12-pointed/12-sided star:

1. Catch 22 Meaning? Draw a horizontal line and erect the vertical line. The intersect is the origin O. 2. Draw a full circle of radius R around O . This will be the clock face. 3. At each of the horizontal and vertical intercepts draw additional circles of the same radius R. 4. The intercepts of the central circle with the cardinals and with the other circles yield the twelve points exactly distanced around the texas (1989), central circle. Can you see how you could make a 24 point star using the diagonals? Almost every month we offer quick topics of general interest. Catch? In May 2011 a single construction shows how to make both the 24-point and 16-point stars in just one construction. Perfect star families.

It is easy to draw stars using geometry's tools, a straightedge and compass. (1989)? By now we want to make stars geometrically, not just for perfection, but also because only the perfect stars manifest in nature. A circle can be divided exactly into 2 , 3 , 5, 15 , and 17 equal segments, technically called constructible polygons. Catch 22 Meaning? (Some exclude the 2-segment division because it yields but a virtual line of a circle's diameter #151; but I include it.) You may call this the 'fundamental' or 'primary' or direct sequence of perfect stars. Dissertation? Since any and all segments can be also exactly (evenly) divided by 2, you can find all stars that have their points exactly spatially distanced by catch 22 meaning, geometric means. You can also say that the doubling expansion forms a perfect star family. For example, you can make an dissertation eight point star or a 64 point star from a two point star through simple halving of distances. From a three point star (above) you can make the exact hexagon and from there the twelve point star of the Zodiac or do a layout of catch, a twenty four point star for Feng Shui. Starting with a 2 point star #151; the only direct even star #151; you can construct 4, 8, 16, etc. stars you could also label the 'evenly even' sequence of stars. This is the original Pythagoreans' terminology, which presently would be called the 'binary' sequence of stars. From the 3 point star you can continue to halve each side to make the 6, 12, 24, etc. point stars.

From the five-point star you can make the journey, 10, 20, or 40 point stars. Every perfect star with the even number of points will have symmetry about an axis and about a point. If you think there is no such thing as a two point star, it is on the Venus page and catch, it is formed by the combined Neptune-Pluto 3:2 orbit. The stars that are left out from birmingham demonstrations, direct and catch, doubling constructions cannot be constructed exactly. Masters Dissertation Structure? For example, you cannot make a nine point star directly #151; or indirectly from a three point star.

The seven, eleven, and thirteen pointed stars are also not constructible. Numbers that divide a circle exactly could have a name of their own. A good fit is 'circumpositional,' for these numbers compose in a circle exactly and will be [are] prominent in atomic constructions. Carl Gauss recently added the 17 sided polygon as the perfect star. The 15 sided polygon is in Euclid 's Elements , Book 4, Proposition 16, and is made by a combo of a three and a five pointed star (a 5-point star is catch, evenly rotated three times around the circle). One interesting property of the perfect star families is that they do not intersect directly.

A sequence growing from each of the direct perfect star number does not match (overlap) with another sequence. That is, from 2 we get 4, 8, 16, 32, 64, 128, 256, 512, 1024 , 2048, 4096, 8192, 16384, 32768, etc. from 3 we get 6, 12 , 24 , 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576.. from 5 we get 10 , 20, 40, 80 , 160, 320 , 640, 1280, 2560, 5120, 10240, 20480.. from 15 we get 30, 60 , 120, 240, 480, 960, 1920 , 3840, 7680, 15360, 30720.. from 17 we get 34, 68, 136, 272, 544, 1088, 2176, 4352, 8704, 17408, 34816.. Each member of the perfect all-star family has but one origin.

Once a number becomes even it stays even. 3, 5, 15, and 17 make the only exact odd stars. A circle is a zero pointed star having an Relationship Mechanical Culture infinite number of points. On a circle there are no inbound-outbound changes and, therefore, no points. Topologically, however, a circle is composed of infinitely many geometric points. 22 Meaning? This is a technical play on words. However, a single geometric point, a 0D point, has an demonstrations infinity built within it [yeah, takes work]. 360 does not divide a circle exactly. 260 does not divide a circle exactly (Mayan Tzoltek calendar). The end of the Tzoltek calendar is not (cannot be) synchronized with a rotational parameter such as the precession. 22 Meaning? It is birmingham demonstrations, conceivable the Mayans had difficulties reconciling the rotational parameters (based on transcendental numbers) with some linear time-measuring parameters.

The numbers' unexact nature would lead to disaster conclusions. Well, yes, it could have been their own square-a-circle problem. 320 does divide a circle exactly and the 1/320 (reciprocal) is called ro by the ancient Egyptians. While a circle can be divided exactly by hours (24) or minutes (60), a circle cannot be divided by hours and minutes (24x60=1440). 60 does divide a circle exactly and the sexagesimal (60-base) system is 22 meaning, first used by the Sumerians (2000+ BCE). Although all mainstream math books claim we use 60 minutes and 60 seconds as a result of Sumerian and Babylonian cultures, none of these math references mention that while 60 does divide a circle exactly, a circle cannot be divided exactly by minutes and seconds (by 3600). But of Outcomes of School Uniform Use Essay, course, mainstream math is cluless on what the exact geometric circle division brings to the table. While a circle is divisible by 10 exactly, a circle is not divisible exactly by a hundred or a thousand or any higher decimal multiple. The decimal fraction format aka the decimal fraction notation is 22 meaning, not suitable for the circular geometry beyond the Relationship Mechanical Art and Culture, first decimal point.

Is it strange the Mayans #151; while having the 22 meaning, positional notation of base 20 #151; had no sub-unity base-20 fractions? Perhaps not. Just as in the decimal and sexagesimal systems, the base 20 (vigesimal) system is useless past the dissertation structure, first vigesimal point in catch 22 meaning, circular geometry. One star inside another star. Among the hero, applications are spatial designs that combine perfect stars. In watch design, for example, the circle being divided by twelve looks fine and is harmonious. In addition, it is harmonious to overlay the 12 point layout with triangular, square, or pentagonal designs. You would not want to put a seven point star with a triangle together in catch, the same (concentric) circle, for example, unless you want to v. johnson invoke disharmony.

Six gets tricky because it is 22 meaning, disharmonious with larger numbers but is harmonious with five, making a pentagon (not a pentacle). There is also a disharmonious ccw pentagon and that one does not include six. When using but a single star you choose one from the perfect star families. When combining stars, however, you also must deal with harmony. A doubled star is always harmonious with its parent star -- they differ by masters, an octave, but not all star combinations are harmonious. We are talking about harmony in point symmetry, which is applicable to both the micro and the macro.

See the book. If a musical tone x is catch 22 meaning, harmonious with tone y and y is harmonious with z , is z harmonious with x ? Not always. Relationship Between Mechanical Reproduction, Art And Culture? The book explains harmony's geometric foundation and then the star drawings bring harmony into the visual range. Quantum Pythagoreans provides the formula for harmonious musical notes and you will also know why some stars just do not feel right. Harmony is not just extended to the macro. Catch 22 Meaning? Harmony is fundamental to both the micro and macro constructions and, therefore, to stability in general. Thanks to Paganism, a five-pointed pentacle star is presently classified as harmonious (opening) or disharmonious (banishing). In the book you'll learn how ANY and all stars can be classified as harmonious or disharmonious. In the beginning was the number #150; and the power of numbers begins .. The perfect star families of numbers introduce some changes to birmingham our perception of catch 22 meaning, universe building and Relationship Mechanical Culture Essay, how everyday reality happens to come about.

Mathematicians can make all kinds of star constructions, in 2D and 3D #150; but only the catch 22 meaning, perfect star families can begin to dissertation structure bridge the straight line energies, such as photonic energy, with circular orbits and orbital energies. Because the vast majority of the real energy in the universe is in the form of spinning or orbital energy #150; that is, energy having angular momentum, the perfect star families of numbers take the front seat. Scientists can draw all kinds of curves but these are usually fancies. Mathematicians in particular insist their work has no bounds, yet in their hearts they know their discoveries should have some practical application. Starting with 24 hours per catch 22 meaning day and having 80 minutes in an hour, every minute of Relationship Mechanical Art and Essay, every day (24x80= 1920 ) would divide a circle exactly. Such is not the case today.

After that, a binary number 1024 would stand for seconds and continue to divide the catch 22 meaning, day's circle exactly. One of the new seconds would then be the exact 1,966,080th part of a day. The new second would be somewhat faster than one twentieth of the present second (0.05). While adequate for almost all sports without further division, additional circle-exact divisions are always available #150; something that is not possible to do today. (Once you lose the War Is, exact circle division it cannot be recovered.) The sweep of the seconds hand would be 1/3 faster than the present sweep to make one full revolution in 22 meaning, 1/80th of an hour. At all numerical markings in structure, the illustration on right #150; the 22 meaning, hours, minutes, and seconds #150; would not be fractions. For example, the between Art and, sweep of the seconds hand spanning one half of the quadrant adds up to 128 seconds . One half quadrant, then, is 128 seconds or 10 minutes or 3 hours. The new minute count of 80 per catch hour divides a circle exactly and using 80 points around the circle can make the perfect 4, 5, 8, 10, 16, 20, 40, and 80 pointed stars. From the Positive Outcomes, 24 hour clock face one would make the catch, perfect 3, 4, 6, 8, 12, and 24 pointed stars. A pentagram star is harmonious (opening in Wicca speak) if drawn counter-clockwise and disharmonious (banishing) if drawn clockwise. Once you understand the harmony/disharmony, you will be able to extend it to other stars besides pentagram.

Some counter-clockwise 8 and 10 pointed stars are harmonious but these stars are disharmonious if drawn clockwise. This does not mean the clock's hands rotation should reverse. See the masters dissertation structure, Venus page. Now, could you come up with another sequence that always makes an exact circle division, both locally (by itself) and overall (with respect to 22 meaning the starting circle)? Yes. Start with 20 hours per day and Uniform Use Essay, divide each hour by 192 minutes. Both 20 and catch, 192 divide a circle exactly but, in addition, 20 times 192 is 3840, which also divides a circle exactly. Is there more to this than making new and different watches? You bet.

Tiling of pentagons and hero journey archetype, stars. Tiling does not involve direct construction but only translation and/or rotation in catch, two dimensions. Translations are linear (straight) motions. The line provides symmetry about a (such) line [feminine] while rotations are always symmetrical about a point [masculine]. This does not seem like a big deal but the property that allows (in this case pentagon's) translation or rotation to get to an identical solution is exceptionally important in universe building (and in the group theory, too) . Tiling of five pentagons to make a cool five pointed star was (first?) published by Kepler in Harmonic es Mundi (1619) When the ancients instructed us to use the straightedge and compass, they were not really talking about constraints because they were talking about geometry. Positive Of School Uniform Use Essay? Rotation about a point is about the use of the compass. Straight movement (translation) is 22 meaning, about a symmetry about a line and journey archetype, perhaps you could see now that the line of symmetry is a virtual line #150; that is, the line of catch, symmetry is an texas (1989) empty slit. (Would you go as far as to have Justice brandishing her sword with a slit down the catch, middle of the hero journey, blade?) The virtual line has powerful geometric properties but you do not want to ask a woman about that.

Not that you couldn't, it's just that the explanation is nonverbal. The pentagon template for the illustration on the left was obtained with MS PowerPoint by selecting AutoShapes .. Basic Shapes. 22 Meaning? Pick the pentagon object. On the newer versions it is Insert .. Shapes .. Basic Shapes. If you tile five pentagons you get the five-point star in the center. Now, if you take five five-point stars and arrange them around with their points touching, do you get a pentagon in the center? You always want to test for (1989) reversibility , even at the expense of catch, appearing dyslexic. Relations are reversible only under certain conditions and of School Uniform Use Essay, you want to catch know what they are. If you assume relations are always reversible as they are in algebra, you will 1 ) understand but a limited subset of reality [if you are lucky] and/or 2 ) misinterpret relations that are not reversible. For example, if there is a quantum mechanical explanation of gas pressure, there could be a way of making the phenomena reversible.

Now, how would you reverse the rotation of a light mill? (Give it a thought and get the Reproduction,, answer .) We readily apply force to get things moving. 22 Meaning? So, how would you reverse 'something' and have the force arise? A circle of structure, stars, a pattern of stars: Testing for catch 22 meaning reversibility is texas v. johnson (1989), crucial in the understanding of relationships. Dyslexia is a condition that is constantly reversing relationships in all modalities: verbal, tonal, geometric, written -- to see if the reversal possibly acquires another meaning, or if the reversal carries no meaning.

The Quantum Pythagoreans book treats the difficult topic of relationships by novel exploration of dependent-independent properties of a relationship. You will then understand and normalize the difference between, for example, 'planning your work' and 'working your plan.' The tiling construction #151; that is, movement about a point and/or translation along a line, of catch, some objects may result in the appearance of hero journey archetype, another object. Catch 22 Meaning? This is at Positive Uniform Use Essay times referred to as negative space. While it is true that the original object is real and in 22 meaning, some respects positive, the 'negative space' label is v. johnson (1989), but an introductory way of looking at it (and a left-brain way at that). A good way is to see this as the catch, act of creation of the virtual object . When working the Great Pyramid, you may want to think of the chambers and passageways as virtual objects or empty-space objects. It really helps. Self test:-) Straighten up two adjacent fingers. Do you see a difference if you think of these fingers as two closely spaced pencils #150; or as an empty slit or space that is between the pencils?

Photons and electrons do, for they make very different patterns for a single bar, two bars, a single slit, or a dual slit. For brainwork: 1 ) How is masters, it possible, and 2 ) What is the catch 22 meaning, utility of the result that one pattern ends up in the left side of the brain while the other in the right side? Ancient Greek-speaking scholars debated geometry and arithmetic, and understood the complexities even without a PC. A circle is an texas (1989) angle (of 360 degrees) that is divisible by three exactly using geometric means. This result is catch, significantly more interesting than the mainstream mathematicians' proof that an angle is not, in general, divisible by three. Dissertation? If you think of 22 meaning, a circle with the orbit (cosmic) and/or orbital (atomic) applications in mind, you will see there is birmingham demonstrations, lots of fun in figuring out what works[, rather than beefing up your resume with things that don't]. So, the ancient riddle about 22 meaning, dividing the angle into thirds has more than one answer and no answer is the birmingham demonstrations, wrong answer. It is, however, a parting, or the Tau riddle that to catch some makes all the difference. But again, no angle can be divided by three exactly arithmetically. Between Reproduction, Essay? No angle can be arithmetically divided exactly by any rational number even if such angle was first obtained geometrically and exactly. A circle cannot be divided by 7 or 9 equally and exactly.

This fact may lead to some new discoveries but if your skills are mostly in arithmetic you'll likely think of it as a curiosity. That is the catch, basis of reductionism, for a reductionist first makes a claim that arithmetic is just as good as geometry (brain grouping), and then happily ignores the advantages of geometry. Similarly, equating irrational and rational numbers is erroneous but the mainstream math guys think them equal and miss a lot (see incommensurables). Yet, the best example of the journey, power of geometry is in catch 22 meaning, the construction of the so-called geometric mean. Here, the semicircle and birmingham, the Pythagorean Theorem produce a square root of 22 meaning, any rational or irrational number. Moreover, the geometric mean can multiply two irrational numbers together and produce an exact result, the infinite mantissa and all. No computer can do that.

The bottom line: Geometry always leads, arithmetic always follows. For example, I came up with a nice infinite series that relates the power (exponent) of the golden ratio to Outcomes of School Use Essay two terms of the numbers from the Fibonacci series F n . 22 Meaning? What this relation shows is that any power n of the golden ratio a/b can be expressed as a multiple of a single golden ratio a/b . Initially I called this the hero archetype, IG series for I nstant G old series. I liked the label 'instant' because Kepler got to the golden ratio a/b using the infinite progression of the Fibonacci series F -- but here and now the Fibonacci is not taken to the infinite limit to get a/b . Catch? I also discovered that this equation, in a form a bit different from mine, already exists. After a while and once I figured out what is Hard to Forget, happening geometrically, I could not help but calling it the catch 22 meaning, I vsin G old series [yes, thank you], simply because the geometric understanding opens up a whole new world of applications . The arithmetic equation by itself is okay but the applications just do not reveal themselves if you look at it algebraically. Try it yourself ..

In another example, you know that 360 degrees in a circle is arbitrary. Texas V. Johnson (1989)? Very soon (just below) you'll see why a circle cannot have another number of degrees that would match the power of geometry. A circle becomes (is) a unitary entity of its own and arithmetic can deal with a circle only via an infinite series. Having said that, a circle would not be possible to turn into a square #151; but, by using the 22 meaning, virtual numbers and understanding the Relationship between Mechanical Reproduction, Culture Essay, infinite superposition .. .. A circle can be constructed or divided in finite time only geometrically. Moreover, a circle's manipulations must be exact if you want to understand how an atom is or could be made. It is now time to visit the angles of a circle. Can we map the angles in such a way as to obtain correspondence between geometry and arithmetic? Arithmetic makes it strange. In a calculator, the catch 22 meaning, angle of 360 degrees is Relationship between Mechanical Reproduction,, divisible by 9 without a remainder, but this is but an arithmetic computation.

In geometry, the circumference of a circle issues from catch 22 meaning, Pi, which is a transcendental number and so you cannot be arbitrary about the length of the circle or the v. johnson (1989), exactness of an angle inside a circle. Yes, the 22 meaning, angle of 40 degrees is not constructible exactly because a circle is not divisible by 9 exactly. But it does happen that a circle is divisible by War Is Hard Essay, 40 exactly and then an angle of catch 22 meaning, 9 degrees can be had exactly. Division of a circle into an arbitrary integer quantity of equal and exact segments (or angles) is not possible. What then is the advantage in structure, dividing the circle exactly by this or that number? The atom holds together by having electrons wrapping around the nucleus. Because the electron's momentum is also a wave ( de Broglie ), the electron's wave must evenly, that is exactly, close upon itself to form a standing and a round wave that is symmetrical about 22 meaning, a point.

To the Pythagoreans the numbers are everything and this is because numbers actually create things. The mainstream scientists' argument that computer's representation of an irrational number is close enough is, unfortunately, not relevant to atomic construction. Scientists just do not know how to interpret 'precise' and 'exact' in hero journey archetype, an applications setting. The scientist can divide the circle by nine to a very large number of catch 22 meaning, decimal places, but there will never be a wavelength that would fit nine times around the circle of the orbital. Incidentally, 'fit' is the hero journey, original (superior?) word for a 'node' that was used by Newton in his description of standing waves.

In today's terminology, we would say that a nine-wavelength, or 18-node, standing circular wave cannot and will not happen (will not fit). Numbers 7, 9, 11, 13, 19, 21, 22, 23, 25 and others cannot divide a circle exactly. Most of these numbers are incomposite (prime) numbers. Number 9, though, is a composite number as well as a square number, but it cannot be used to divide a circle exactly. [Does this mean the Chinese Emperors could not sing? Having said that, they might have been good golf players.] Number 5 is incomposite but can be used to divide a circle exactly. What is 22 meaning, needed, then, is a class of numbers that compose in a circle , instead of just being composite numbers (composed of products of other numbers). V. Johnson? These numbers, called circumpositional numbers [by yours truly], are prominent in atomic construction. Catch 22 Meaning? Above, we introduced these numbers as the Relationship between Reproduction, Essay, perfect all-star family of numbers. If you don't mind additional complexity, or perhaps simplicity, a circle can be divided exactly only through geometric means. Catch? Another way of masters dissertation, saying 'geometric means' is 'spatial distance means.' Yes, the circumference of a circle is a transcendental number and a division of any transcendental number by any real number remains transcendental (a real number is catch 22 meaning, finite).

The computer can use only real numbers and the length of the circumference is then rounded off if it is to be stored in a computer. What this also means is that a computer cannot give you a perfect star. Of School? What this really means is 22 meaning, that you must have movement to create a perfect star. In other words, you cannot make a perfect star via placement or measurement (statically, topologically) with a ruler or a computer or a computer-calibrated protractor. As a Pythagorean you might realize that you cannot construct a perfect star without a compass #150; that is, you need rotation to complete exact constructions. A compass is the only tool that allows you to enter 2D from 1D. In other words, a compass allows you to turn. A larger implication is that there must be movement even at the atomic core level #151; and under radial symmetry the movement is also about frequency. (You might guess here is one of the gateways to gravitation and The Pequot Essay, yes, the philosopher's stone opens up to 22 meaning the alchemist.) The necessity of movement permeates everything.

Even the ability to square a circle appears like basic stuff when developing (Tai) Chi in your body (think 3D). Arithmetic makes it practical. Pythagoreans had a category of numbers they called 'abundant.' Such numbers are evenly divisible (without a remainder) by many other numbers. Number 60 (minutes in an hour) is War Is Hard Essay, a good example as it is divisible by catch 22 meaning, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and of School Uniform, 60 -- which, not incidentally, are the number of points of stars one can make with minute watch face markings. Another convenient (abundant) number is catch 22 meaning, 24 (hours in a day), but we presently divide the day only by archetype, 2 (am and pm) and by 3 (work part), and possibly by 22 meaning, 12 (entertainment). Facilitating easy workings in the geometry of a circle, however, calls for a more abundant number. If you were to come up with a good working number for the total number of degrees in a circle, you may find 360 to be a very accommodating number. Texas V. Johnson? 360 degrees of a circle divide evenly into quarters (possibly the most important requirement right next to 365 days in catch 22 meaning, a year). It divides evenly by 5, 10, and 20, too.

You've already noted that the division by 5 (and consequently by 10) is v. johnson (1989), very practical because a circle division by 22 meaning, five brings in v. johnson, the golden proportion. The practicality of this number won the day even though 360 is also evenly divisible by 9 and a circle cannot be divided by 9 exactly. Catch? If you were a stickler for details such as this, you most definitely would insist on 2040 degrees in Relationship Mechanical Essay, a circle. 2040 is evenly divisible by 2, 3, 4, 5, 6, 8, 10, 15, and 17 -- all numbers that divide a circle exactly through geometric means. The good old 360 is not evenly divisible by catch 22 meaning, 17 and that means that exact geometrically-obtained angles do not necessarily have a corresponding whole number of degrees if we stick to the present 360 quantity notation. Both 360 and 2040 are not evenly divisible by 7, 11, and 13 -- as it should be.

But 2040 is also not evenly divisible by 9, and to Forget Essay, we have even better correspondence between geometry and arithmetic. The year 2040 could be the most harmonious year coming up. [But don't tell IRS. They'll put this number on catch a form and spoil it.] Now that all people are smart enough to handle as huge number as 2040, is Relationship between Culture, it time to catch make our circle geometry as sophisticated as it can be? Are you ready for dissertation structure the sum of 22 meaning, internal angles in a triangle to equal 1020 degrees instead of 180? And the internal angle of an of School equilateral triangle would be 340 degrees instead of 60?

Even if you could legislate the change #150; and during the French Revolution they legislated 100 degrees in a circle and 100 minutes in catch 22 meaning, an hour -- the bottom line is that there is no perfect number for Art and Culture Essay a quantity of degrees in a circle that would be a whole number or even a rational number. That is, there is no number that would be evenly divisible by those numbers that divide a circle exactly geometrically. In the example of the 2040, this number is 22 meaning, not evenly divisible by 16. [Some Masonic authors give Freemasons credit for leading the French Revolution. If so, they would certainly be quite ignorant on what to do in the aftermath #150; all their Gs notwithstanding.] Whole numbers and rational numbers are called real numbers #150; a good name. Demonstrations? An incommensurable (transcendental or irrational) number can never become a real number unless it is transformed . The transformation is irreversible because we cannot save an irrational number such as SQRT(2) in catch 22 meaning, a computer and Positive Use Essay, retrieve it as (convert it back into) the original irrational number without first taking a nip off the number #150; think Ouroboros and visit Circle and Pi . 22 Meaning? Reversing the transformation calls for addition of the Uniform, virtual energy [think Isis and possibly Thoth if you are familiar with his eye restoration story]. If you want to get deeper into transformations of catch 22 meaning, rational (real) and irrational numbers #150; think ancient Egyptian fractions [here, you will need to appreciate three things: 1 ) Ancient Egyptian fractions are quite sophisticated; 2 ) Present day scientists are clueless as to the ancient Egyptian fraction applications or origin; and demonstrations, 3 ) Our present civilization is not necessarily advancing.] When dividing a circle with the catch, straightedge and compass, the goal is to birmingham demonstrations make the number to become , for catch 22 meaning the number's geometric construction creates something specific to that number. There is, then, more to numbers than philosophy, and you may want to birmingham visit the original number apps guys, Pythagoras and his fellow Pythagoreans . There is a treatment there of real, virtual, and irrational numbers. Irrationals and transcendentals are in 22 meaning, the family of Outcomes of School, incommensurables but transcendentals are not constructible through the catch, Pythagorean Theorem (from 2D of the Hard to Forget, curve to 1D of the hypotenuse), while additional differences between irrationals is based on applications. [There are good and bad numbers and some of them have an catch 22 meaning infinite mantissa.]

What does a star in a circle represent? What is the meaning and texas, symbolism of catch 22 meaning, a star inside a single circle? The point count of the star is about the wavelength multiples that curve and create the atom. Don't bother with scientists' point electron orbiting core pictures, for atomic electrons are really standing waves having point symmetries (symmetry about the core). As always, you will need to learn which stars are geometrically constructible and can be actualized, and hero journey, which are just the arithmetic's (or computer's or religion's) fancy. Is the catch 22 meaning, atomic core composed of masters dissertation structure, standing waves? You bet. Scientists have way too much invested in the solid and static core hypothesis and so it is safe to talk about the pulsing and catch 22 meaning, standing waves of the core.

Scientists are way off and, for example, they made up strong nuclear force because they do not understand the wave nature of the core. In a way this is masters dissertation, okay, for catch 22 meaning you can make many advancements while the scientist remains clueless. Archetype? For example, the core's shape is not necessarily spherical. With all their equations, scientists think highly of whatever it is they describe with them. Saying that the scientist will remain clueless is no idle talk, however. 22 Meaning? On our Circle Pi page we also highlight the inadequacy of algebra, for dissertation algebra's constructs cannot deal with the operation of equivalence. Catch 22 Meaning? Algebra completely misses irreversibility, too. As a Pythagorean you want to figure out what entity will prevail in The Pequot War Is Essay, the interaction with a standing-wave electron and with a standing-wave proton. Why, could you then do a precision surgery on the atom? Seven pointed star. A circle cannot be divided by catch, seven exactly.

Yes, we can say that seven people cannot share a round pizza equally, and v. johnson (1989), leave it at that, except that the 22 meaning, number seven is the first number with such property. When things are happening inside a circle #151; that is, when things are spinning and evolving, the wave folding encounters the number seven and consequent inability to fit around the circle (and make a perfect star). When you examine the Mesoamerican Hunab Ku symbol, there are two seven-sided areas (heptagons) and now the challenge is to explain that. The seven sides are not drawn equal in length and that gives the symbol some credibility. Journey Archetype? The heptagons pivot into 3D and now it gets really intriguing.

If we don't take the Hunab Ku (some say Hanub Ku) as a product of coca leaf-chewing fancy, there are many interesting things happening around the number seven. I'd be careful in using the seven pointed star. Adopting a regular heptagon or a regular seven pointed star shows you don't get it. Catch? So I'd draw the texas (1989), star free hand or use an 22 meaning irregular heptagon. Mayans have a gap in their seven-segment Ouroboros too. The Goddess Seshat's symbol from ancient Egypt is a contextualized seven-leafed plant (she is a scribe, which means she is a magician). The leaves spread out in a star configuration, but the dissertation, resulting seven pointed star is not regular. [If you think the symbol is a cannabis plant then that's fine by me. However, geometry prevails (has priority) while cannabis also has 5 and 9 leaf varieties.] The Statue of Liberty has a hair dress with seven rays. The symbolism of her 7-point star is rich with 'seven seas' and 'seven liberal arts' interpretations, but I prefer to look at it geometrically and catch 22 meaning, enjoy the fact the rays are not regular.

The wonderful part of the circular geometry is that it needs to be treated separately and dissertation, carefully. Euclid may have proved that no two Natural numbers (integers) when put in a ratio will result in catch 22 meaning, an incommensurable (irrational) number. But some incommensurable numbers when put in the ratio (or are proportioned) could result in a rational number. You may want to reflect on what it means. As far as Euclid goes, not much. After all, Euclid talks about what does not happen. But what does it mean when transcendental -- that is curving -- and straight line (ir)rational geometries meet at certain points? Think transformations and visit the Proofs page that talks about the squaring of a circle. Understanding the Relationship between Art and, angles in catch, a circle certainly takes you to another and very substantial pursuit of universe building.

Looking back, is there some work that was done just in this area? But of journey, course, you'll have to step over the reductionists, yawn at the popularizers, and laugh at catch people who allow to be called experts. [I'd bet 10:1 they will talk about running out of energy.] The ancient Egyptian fractions have the Positive Outcomes of School Use Essay, numerator expressed as an oval having the value of 1 . It is a symbol for a unitary entity that has symmetry about a point such as a circle or an ellipse. And if you have two circles that you want to divide into sub-unity fractions, are we really talking about two atomic orbitals and 22 meaning, the possible (energy) fractional values they can acquire during an electron jump? So now you have yet another quest to masters make. A road where you will also discard all the catch 22 meaning, modern mathematicians musing at the awkwardness of the ancient Egyptian fractions. The Rhind papyrus has the between Culture Essay, 2/n expansion and now you know what the 2 is about. Riemann sees a sphere with longitudinals that, with identical curvature, converge and 22 meaning, meet at the poles at finite distance where they close upon themselves (think atomic orbitals in a closed 3D topology).

Although Riemann, a math guy, did not have an atom in his mind, his geometry is 'parallel yet finite.' He discovered an unusual way of obtaining all incomposite (prime) numbers. We have three book reviews on this remarkable individual. Then there are the scales of the fish [yeah, the dumb fish]. Birmingham? The sweeps of the scales subtend a particular angle. Do you think a fish could fly or extract energy from the catch 22 meaning, swirling water around it by using the geometry of its scales? In reverse, could you work the Positive Outcomes of School Uniform, straight-moving energy to close upon itself and make an atomic orbital? Think pyramid geometry and Schauberger . Illuminati, Masons and New Order Guys. Pythagoreans, too. Symbolism is about associating something with something similar. Pythagorean logic, for example, says that two points make an axis and then the number two is 22 meaning, behind the of School Uniform Use Essay, mirror symmetry, aka the axial, even, or feminine symmetry.

As a Pythagorean you have no problem with that, and wouldn't use the term axis of 22 meaning, evil because both the constructive and War Is, destructive energies exist about an axis (about 1D). You'd then apply one point of catch 22 meaning, 0D as the source for rotation and consequent (odd, masculine) symmetry. But you are also smart enough to figure out that after 3 points (of volume) you enter a different, virtual domain that is demonstrations, based on the number 4. Associations can go on and on catch 22 meaning and are thus unbounded, and in a fine distinction the associations become infinite relationships. So now you can relate and associate from Positive Uniform Use Essay, here to eternity and each time you may get to a different conclusion. You can now perhaps see the possibility of making something bad or evil out of something that is pedestrian or even boring. So you want to ask if the result you reached is beneficial or not.

If you think accusing someone of catch 22 meaning, evil thoughts is Positive Uniform, beneficial to your religion then you are a part of a religion that is sustained by attempted oppression of others. In short, your religion is not based on truth. In fact, all possible thoughts and all knowledge exist in infinite superposition with each other and is to a greater or lesser degree available to catch 22 meaning you. You are never fully locked out from knowledge you seek, but its usefulness may not be obvious. If you keep an open mind you will soon discover that working with infinities is no easy matter.

Shutting down your mind (narrow one's mind) is a defensive reaction to an onslaught of information. You may even figure out that all religions attempt to understand infinities and could well be defined just by that. So relax. Infinities can be worked but they need different methods. Things that don't add up simply won't happen. [So what is my Pythagorean take on the 7-point irregular star? It is about the creation or release (liberation) of energy. As with anything it could have a down side, but with superior assistance (God?) it can be managed and be useful.

Oh, the thing about texas, God is that you have to ask. Catch? It's not because God is journey, busy, but because you get a specific answer to a specific question. Most importantly, you will never get an order or a command: only knowledge. The action (or non-action) is yours and is based on your free will and your consequent responsibility for your actions.] Johann Balmer was the guy who opened wide the barn doors of quantum mechanics.

Fifteen years before Planck , he came up with the 22 meaning, relation that produces a sequence of numbers matching the wavelengths of The Pequot Hard to Forget Essay, light coming from hydrogen. 22 Meaning? These are not just any numbers #150; they are wavelengths corresponding to particular electron jumps and no other. Balmer did for quantum mechanics what Kepler did for gravitation: He came up with the math equation that matched known experimental data and Culture, made successful predictions of 22 meaning, other new, yet undiscovered, wavelengths. But there is a bit more to it. Balmer used integers and square numbers in his relation that were those of the Pythagorean Theorem. Well, good ol' Pythagoras was not only right all along but the breadth of his #150; some say HIS #150; teaching was also the foundation of quantum mechanics. Positive Uniform Use Essay? Natural numbers and his theorem are also the source of the quantum behavior of atoms. This topic is 22 meaning, expanded and has a page of its own. To reconcile the straight (1D) and (1989), the curving (2D or 3D), you will be dealing with the squaring of a circle. Algebra works fine when things are straight or polynomial or exponential. Generally, however, when geometry picks up another dimension and lines start to be circular, the equations are not enough as the transcendentals come up.

The relationship of the catch, squaring of a circle to this page's perfect division of a circle is in the possibility of linearizing the birmingham demonstrations, curved segments (arcs) of catch, a circle and of School Uniform Use Essay, then making a tractable exchange between curving and catch, straight topologies. So there is a continuation to 'how to demonstrations draw a star' and it deals with energy. Can we say that geometry is about energy? Can we say that the exactness of particular geometric solutions goes along with the exact conservation of energy? Of course, Pythagorean methods are used to find new ways while mainstream science continues to be arm chair science by playing up one trivial answer as the 22 meaning, only answer. At times politicians pick up the journey archetype, 'square a circle' analogy and catch 22 meaning, then you should know they are trying to find excuses and explain failures to texas (1989) their supposedly dumb constituents. So, even though the squaring of a circle is not possible using real methods , the squaring of a circle is catch, possible. The complexity of our environment is oftentimes worked through alchemy. There is a method behind the seemingly strange associations and we offer the interpretation of The Emerald Tablet on our Alchemy page. Summary, Cosmic (Macro)

Pythagorean discovery of irrationals spawned the urgent pursuit of geometry lasting over v. johnson (1989), 2400 years. Kepler brought arithmetic to the forefront by establishing the mathematical and catch, arithmetic relations of heavenly orbits. In effect and in fact, Kepler introduced the parameter of time in birmingham, the mathematical context, which made it possible to make planetary position forecasts #151; forecasting being Kepler's life long passion. Because any two gravitationally interacting bodies always have a solution, the parameter of time derived from such periodic solutions is also repeatable (periodic) and catch, time can be used to make forecasts. Birmingham? Even though time is always a derived (dependent) variable, the mathematical solution establishes reversibility and allows the time parameter derived from this system to be used. (The equal sign indicates reversibility but reversibility is by no means a given.) Another way of seeing the mathematical solution and consequent time reversibility is that the spatial distance (space) and time form an overlay. Catch? In a chaotic system, or in a non-periodic system such as the free economy system, the parameter of time cannot be used to make predictions. Geometrically, you can take any square and construct another square that has exactly twice the area of the masters structure, original square. A square can be increasing in infinitely small increments, including irrationals, while the doubled square follows that exactly (think conservation of energy of a moving object). This is something your computer cannot do. If you think this is no big deal and catch 22 meaning, it is between Mechanical Reproduction, Culture Essay, something for catch 22 meaning the ancients to contemplate #150; that's fine.

The gateway question that makes all the archetype, difference is: Can you construct infinity? Certainly the most enticing question is: Can you stop moving bodies at a distance? Light is understood as moving or standing linear -- that is, straight, waves following Newton's analysis of 22 meaning, fringes (first observed as fringe rings). As light becomes closely associated with matter, Balmer kicks off the QM atomic pursuit with a Pythagorean relation. A wavefunction is understood as a probability distribution of an atomic particle #151; a great step forward by Heisenberg and Outcomes, von Neumann. A moving particle has momentum but momentum can also be worked as a wave #151; a second great step, this time by de Broglie.

A moving electron now gets to become a wave as well, but this wave must curve #150; that is, become circular , and close upon itself in a symmetry about a point (about a core). The circular (or rounded) electron orbital and the straight path of light need to be energy-reconciled through the squaring of a circle #151; the first difficult hurdle. Ether is taken out of science's purview, which is the catch, Great Reduction making the scientist that much poorer in the end. Scientists cannot make headway and structure, talk about impossibilities. They reduce everything until there is no intelligence in their design and take an early exit. (In their last hurrah the catch, angry mob bashes and trashes cold fusion.) Scientists thus successfully reduced themselves into a group of believers in 'light-is-real-and-puts-pressure-on-mirror.' While much of today's physics rests on Positive of School Uniform Use Essay it, the scientist has no guts and no brains to perform the catch 22 meaning, actual experiment measuring the presumed pressure light puts on a mirror. Scientists are not able to face up to the truth that a light beam does not and cannot put pressure on a mirror and so they are stuck perpetuating, defending, and proselytizing their dogma. Meanwhile, geometry is receiving new impetus by reviving its superiority over arithmetic and algebra. The golden proportion, the infinite and instant wavefunction superposition, the understanding of irrational and transcendental numbers, linearizing particular segments of a circle, and the possibility of creating electron waves with harmonics-series energy components just might get the atomic understanding going again #150; perhaps in another country, perhaps by Hard to Forget, another group of professionals. The cosmic (or planetary) pentagram and the five fold atomic orbital make the five pointed star a joining symbol for both the macro and catch, the micro. While the Hard to Forget Essay, atom's orbitals are symmetrical about a point (have radial symmetry), the catch 22 meaning, valence orbitals in a molecule need to close around two points of symmetry (the cores of the texas v. johnson, atoms are some distance apart).

Yes, the Hyper s tar has an 22 meaning answer to War Is Essay that on our golden proportions page. Self-test:-) If you are not happy about the pentagon base and/or the pyramid being split up or broken up or separated, you are not getting the picture. 22 Meaning? You may want to think about the red part as being the tangible component while the blue part is the intangible (knowledge, virtual) component. If that does not help, stay in 2D [earthbound?] where the pentagon is continuous. If you think Two rather than Four is feminine , you are very close. Hero? You will need to appreciate that the virtual variables are double-ended and have opposites. Then you'll need to catch center these variables to relate them in infinite superposition. ( Quantum Pythagoreans book helps in this area too.) The engagement of Three and v. johnson, Four is just that: It can be supportive in catch 22 meaning, some contexts and in others it could be conflicting, in which case rebalancing work is texas (1989), needed. So, the recommendation for The Pentagon is to modify one of the pentagons (or build a new inner one) to reflect the separate golden trapezoid and the golden triangle. The new construction slants upward toward a point. It does not need to top off in a point as long as the edges are converging toward a point. (If it does top off, think about the catch 22 meaning, straightness of the edges -- it ain't straightforward.)

This pentagonal pyramid is on Mars. The picture credit most likely goes to NASA although I don't know the particulars of image enhancements processing -- none or too much. Note the pentagonal aspect is not regular (a point-to-point straight line over a ridge and through the center can be made). There is one symbol that uses a circle framed by hero, two vertical lines. These lines are at times shown as two (usually) identical posts or columns. At other times it is shown as a person holding two vertical sticks, candles, or wands.

This symbolism, however, is not about the 3 vs. 4. Rather, the two lines or sticks or columns are about the virtual line of the even symmetry that is 22 meaning, relevant to the virtual domain and the energy therein. The upcoming book (late 2013) deals with the construction in the micro domain via the stars, the rings and hero journey, the symmetries. Yes, knowledge is catch, organized energy. Three and Four must remain separate even though they are also joined. You can then see it as a five sided pyramid made from between Reproduction, Culture, two pyramids that each have unique properties. The overall 3D structure has almost all numbers in catch 22 meaning, it but the point is that the numbers must play together to their best advantage (rather than just being represented). Do you see the masters structure, number zero? Or is it the infinity? Could it be both? Is the number zero combined with infinity the source of the Pythagorean fire?

The root of the pyra-mid? The Central fire? The hearth of catch 22 meaning, Zeus? Archimedes' fulcrum of the Positive Outcomes, heaven and the earth? Just a plain (free) electron? The convergence of the catch, north and the south poles on decreasing Riemann sphere? A point of the zero dimensional (0D) geometric construct? 'The One' of alchemy?

Something even smaller than the The Pequot, infinitesimal of Newton and Leibniz? The dot in the semicircle on the AUM symbol? A computational construct for all of the 22 meaning, above from all of the above? The top dot of Tetractys? My favorite : The eye Thoth sends to look for Tefnut when she runs away to birmingham Nubia (yes, the eye finds her). If you think this pyramid is about marriage, you are on the right track. The Three [male] and Four [female] are joined through the point of the infinite.

This joining is applicable to 22 meaning the actual marriage where the joining is through God #150; all there is. The alchemical marriage would have the female part becoming more abstract although the four-sided pyramid geometry continues to be needed for dealing with the infinite. You are, perhaps surprisingly, also looking at the joining of matter at demonstrations the atomic or micro level. The virtual component (in sky blue here; would be white for the ancient Egyptians) has the golden trapezoid for its base, for the longer to the shorter sides are in the golden proportion. The real component has one of the catch 22 meaning, golden triangles for its base. If you like alchemy, the triangular pyramid is the dissertation, king (or sun, gold) while the four-sided pyramid is the queen (moon, silver).

Yes, this is the 3 vs. Catch? 4. In the War Is Hard to Forget, ancient Egyptian context, the crown of Egypt has two separate components: The white (upper, virtual) and the red (lower, real). The gap between the two is the catch, ancient Egyptian blue crown and Relationship Reproduction, Essay, is invoked at catch war. (The gap is white in our pentagonal pyramid.) Book by Mike Ivsin.

Pythagoreans use the knowledge of numbers to journey arrive at harmonious and stable systems. Numbers' properties under different symmetries yield specific solutions. Numbers create the duality while the engagement of the duality's components leads to organization. Quantum Pythagoreans applies the Tetractys construct and that results in all observable cosmic topologies. The book describes the nature's computational mechanism, especially as it applies to waves. What it takes to transform energies. Your body is a component and it is 22 meaning, not the only one. The shapes inherent in the human body have certain geometric context that is Positive Use Essay, revealed in the book and catch 22 meaning, it is about your health, too. You will like and appreciate the simplicity and the power of numbers. The Pythagorean management of numbers takes you on the road to reality and invites you to drive it as well. Go or select another topic from the gold post.

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